Question 1

Write  −160−10\frac { \sqrt { - 160 } } { \sqrt { - 10 } }−10​−160​​  in terms of i , perform the indicated operations, and simplify.

Accepted Answer

A)    −-−  4
B)   4
C)   4 i

Question 2

Find $( 10 - 3 i ) ( 4 - 9 i )$ and express the answer in the standard form of a complex number.

Accepted Answer

The answer of Find \(( 10 - 3 i )...

Question 3

Solve the quadratic equation using the method that seems most appropriate to you.  9x4+11x2−48=09 x ^ { 4 } + 11 x ^ { 2 } - 48 = 09x4+11x2−48=0

Accepted Answer

A)    {±i3,±43}\left\{ \pm i \sqrt { 3 } , \pm \frac { 4 } { 3 } \right\}{±i3c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​,±34​} 
B)    {i3,43}\left\{ i \sqrt { 3 } , \frac { 4 } { 3 } \right\}{i3c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​,34​} 
C)    {±i3,43}\left\{ \pm i \sqrt { 3 } , \frac { 4 } { 3 } \right\}{±i3c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​,34​} 
D)    {i3,±43}\left\{ i \sqrt { 3 } , \pm \frac { 4 } { 3 } \right\}{i3c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​,±34​}

Question 4

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution.
- x=9,x=11x = 9 , x = 11x=9,x=11

Accepted Answer

A)    x2−14x=−48x ^ { 2 } - 14 x = - 48x2−14x=−48  
B)    x2−20x=−99x ^ { 2 } - 20 x = - 99x2−20x=−99  
C)    x2−8x=−7x ^ { 2 } - 8 x = - 7x2−8x=−7

Question 5

Solve each quadratic equation using the method that seems most appropriate. $( x - 6 ) ^ { 2 } = 20$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve each quadratic equation using the method...

Question 6

Solve the quadratic equation using the method that seems most appropriate to you. $n ^ { 2 } + 15 n + 26 = 0$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the quadratic equation using the method...

Question 7

To solve an equation with variables in the denominater, use cross products.

Accepted Answer

A) True 
 B)False

Question 8

Use the quadratic formula to solve the quadratic equation. Check your solutions by using the sum and product relationships. Match each of the equations with the number to obtain a true statement.
- 17±2572\frac { 17 \pm \sqrt { 257 } } { 2 }217±257​​

Accepted Answer

A)    −y2+17y=8- y ^ { 2 } + 17 y = 8−y2+17y=8  
B)    8x2+x−4=08 x ^ { 2 } + x - 4 = 08x2+x−4=0  
C)    16x2+2x+1=016 x ^ { 2 } + 2 x + 1 = 016x2+2x+1=0  
D)    7x2−2x+9=07 x ^ { 2 } - 2 x + 9 = 07x2−2x+9=0

Question 9

A quadratic equation is used in word problems dealing with area in order to determine dimensions.

Accepted Answer

A) True 
 B)False

Question 10

Add. (7 + 8 i ) + (5 + 2 i )

Accepted Answer

The answer of Add. (7 + 8 i ) +...

Question 11

Use the quadratic formula to solve the quadratic equation. 10 n 2 $-$ 39 n = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Accepted Answer

The answer of Use the quadratic formula to solve the...

Question 12

Suppose that the sum of two whole numbers is 13 and the sum of their reciprocals is  1340\frac { 13 } { 40 }4013​  Find the numbers.

Accepted Answer

A)   8 and 7
B)   7 and 6
C)   5 and 8
D)   6 and 8

Question 13

Use the quadratic formula to solve the quadratic equation. 7 x 2 + 15 x + 8 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Accepted Answer

Question 14

Solve the inequality. $( x - 1 ) ( 3 x - 10 ) \leq 0$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(( x - 1...

Question 15

Solve the equation for the variable x . 4 x 2 + 4 nx + n 2 = 0

Accepted Answer

A)    x=−12nx = - \frac { 1 } { 2 n }x=−2n1​ 
B)    x=−n4x = - \frac { n } { 4 }x=−4n​ 
C)    x=−n2x = - \frac { n } { 2 }x=−2n​

Question 16

Use the discriminant to determine whether the equation has two non real complex solutions, one real solution with a multiplicity of two, or two real solutions. Match each of the equations with the number of decisions to obtain a true statement.
-  two real solutions 	ext { two real solutions } two real solutions

Accepted Answer

A)    x2+10x−24=0x ^ { 2 } + 10 x - 24 = 0x2+10x−24=0  
B)    4x2+12x+9=04 x ^ { 2 } + 12 x + 9 = 04x2+12x+9=0  
C)    4x2−x+9=04 x ^ { 2 } - x + 9 = 04x2−x+9=0

Question 17

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution.
- n=−6,n=12n = - 6 , n = \frac { 1 } { 2 }n=−6,n=21​

Accepted Answer

A)    2n2+11n−6=02 n ^ { 2 } + 11 n - 6 = 02n2+11n−6=0  
B)    2n2+9n−5=02 n ^ { 2 } + 9 n - 5 = 02n2+9n−5=0  
C)    2n2+15n−8=02 n ^ { 2 } + 15 n - 8 = 02n2+15n−8=0

Question 18

Solve the inequality. $\frac { x - 2 } { x + 1 } < 0$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(\frac { x -...

Question 19

Solve the inequality. x 2 + 2 x  −-−  63 0

Accepted Answer

A)    (−9,7) ( - 9,7 ) (−9,7)  
B)    (−7,9) ( - 7,9 ) (−7,9)  
C)    (7,9) ( 7,9 ) (7,9)

Question 20

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution.
- x=−7,x=9x = - 7 , x = 9x=−7,x=9

Accepted Answer

A)    x2−2x−35=0x ^ { 2 } - 2 x - 35 = 0x2−2x−35=0  
B)    x2−2x−63=0x ^ { 2 } - 2 x - 63 = 0x2−2x−63=0  
C)    x2−2x−8=0x ^ { 2 } - 2 x - 8 = 0x2−2x−8=0

Exam 11: Quadratic Equations and Inequalities

Use the quadratic formula to solve the quadratic equation. 7 x 2 + 15 x + 8 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Correct AnswerverifiedShow Answer

Solve the inequality. x 2 + 2 x −-− 63 0

Correct AnswerverifiedShow Answer

Solve the quadratic equation using the method that seems most appropriate to you. 9x4+11x2−48=09 x ^ { 4 } + 11 x ^ { 2 } - 48 = 09x4+11x2−48=0

Correct AnswerverifiedShow Answer

Suppose that the sum of two whole numbers is 13 and the sum of their reciprocals is 1340\frac { 13 } { 40 }4013​ Find the numbers.

Correct AnswerverifiedShow Answer

Use the quadratic formula to solve the quadratic equation. Check your solutions by using the sum and product relationships. Match each of the equations with the number to obtain a true statement. - 17±2572\frac { 17 \pm \sqrt { 257 } } { 2 }217±257​​

Correct AnswerverifiedShow Answer

A quadratic equation is used in word problems dealing with area in order to determine dimensions.

Correct AnswerverifiedShow Answer

Solve the equation for the variable x . 4 x 2 + 4 nx + n 2 = 0

Correct AnswerverifiedShow Answer

Solve the inequality. (x−1)(3x−10)≤0( x - 1 ) ( 3 x - 10 ) \leq 0(x−1)(3x−10)≤0 Please enter your answer in interval notation.

Correct AnswerverifiedShow Answer

Solve the quadratic equation using the method that seems most appropriate to you. n2+15n+26=0n ^ { 2 } + 15 n + 26 = 0n2+15n+26=0 Please enter your answer as two numbers, separated by a comma.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

To solve an equation with variables in the denominater, use cross products.

Correct AnswerverifiedShow Answer

Add. (7 + 8 i ) + (5 + 2 i )

Correct AnswerverifiedShow Answer

Solve each quadratic equation using the method that seems most appropriate. (x−6)2=20( x - 6 ) ^ { 2 } = 20(x−6)2=20 Please enter your answer as two numbers, separated by a comma.

Correct AnswerverifiedShow Answer

Find (10−3i)(4−9i)( 10 - 3 i ) ( 4 - 9 i )(10−3i)(4−9i) and express the answer in the standard form of a complex number.

Correct AnswerverifiedShow Answer

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - x=−7,x=9x = - 7 , x = 9x=−7,x=9

Correct AnswerverifiedShow Answer

Write −160−10\frac { \sqrt { - 160 } } { \sqrt { - 10 } }−10​−160​​ in terms of i , perform the indicated operations, and simplify.

Correct AnswerverifiedShow Answer

Use the quadratic formula to solve the quadratic equation. 10 n 2 −-− 39 n = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Correct AnswerverifiedShow Answer

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - x=9,x=11x = 9 , x = 11x=9,x=11

Correct AnswerverifiedShow Answer

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - n=−6,n=12n = - 6 , n = \frac { 1 } { 2 }n=−6,n=21​

Correct AnswerverifiedShow Answer

Solve the inequality. x−2x+1<0\frac { x - 2 } { x + 1 } < 0x+1x−2​<0 Please enter your answer in interval notation.

Correct AnswerverifiedShow Answer

Use the quadratic formula to solve the quadratic equation. 7 x ² + 15 x + 8 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Correct Answer
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Solve the inequality. x 2 + 2 x $-$ 63 0

Correct Answer
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Solve the quadratic equation using the method that seems most appropriate to you. $9 x ^ { 4 } + 11 x ^ { 2 } - 48 = 0$

Correct Answer
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Suppose that the sum of two whole numbers is 13 and the sum of their reciprocals is $\frac { 13 } { 40 }$ Find the numbers.

Correct Answer
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Use the quadratic formula to solve the quadratic equation. Check your solutions by using the sum and product relationships. Match each of the equations with the number to obtain a true statement. - $\frac { 17 \pm \sqrt { 257 } } { 2 }$

Correct Answer
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Correct Answer
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Solve the equation for the variable x . 4 x ² + 4 nx + n ² = 0

Correct Answer
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Solve the inequality. $( x - 1 ) ( 3 x - 10 ) \leq 0$ Please enter your answer in interval notation.

Correct Answer
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Solve the quadratic equation using the method that seems most appropriate to you. $n ^ { 2 } + 15 n + 26 = 0$ Please enter your answer as two numbers, separated by a comma.

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Solve each quadratic equation using the method that seems most appropriate. $( x - 6 ) ^ { 2 } = 20$ Please enter your answer as two numbers, separated by a comma.

Correct Answer
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Find $( 10 - 3 i ) ( 4 - 9 i )$ and express the answer in the standard form of a complex number.

Correct Answer
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Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - $x = - 7 , x = 9$

Correct Answer
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Write $\frac { \sqrt { - 160 } } { \sqrt { - 10 } }$ in terms of i , perform the indicated operations, and simplify.

Correct Answer
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Use the quadratic formula to solve the quadratic equation. 10 n 2 $-$ 39 n = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Correct Answer
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Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - $x = 9 , x = 11$

Correct Answer
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Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $n = - 6 , n = \frac { 1 } { 2 }$

Correct Answer
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Solve the inequality. $\frac { x - 2 } { x + 1 } < 0$ Please enter your answer in interval notation.

Correct Answer
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