Simplify − 50 \sqrt{-50} − 5 0 <path d="M95,702c-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, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> . Make sure complex numbers are in standard form.

± 5 i 2 \pm5i\sqrt{2} ± 5 i 2 <path d="M95,702c-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, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

± i 50 \pm i\sqrt{50} ± i 5 0 <path d="M95,702c-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, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

± 5 − 2 \pm5\sqrt{-2} ± 5 − 2 <path d="M95,702c-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, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

± 25 i 2 \pm25i\sqrt{2} ± 2 5 i 2 <path d="M95,702c-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, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Simplify \sqrt{-18} − 1 8 <path d="M95,702c-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, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> . Make sure complex numbers are in standard form.

± 3 i 2 \pm3i\sqrt{2} ± 3 i 2 <path d="M95,702c-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, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

± 2 i 3 \pm2i\sqrt{3} ± 2 i 3 <path d="M95,702c-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, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

± 9 i 2 \pm9i\sqrt{2} ± 9 i 2 <path d="M95,702c-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, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

± 2 i 9 \pm2i\sqrt{9} ± 2 i 9 <path d="M95,702c-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, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Solving Quadratics

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.B.3, HSA.REI.B.4, HSA-REI.B.4B

+7

Standards-aligned

Kellen Laws

Used 2+ times

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following equations has both x=2 and x=-3 as solutions?

(x - 2)(x + 3) = 0

(x + 2)(x + 3) = 0

(x - 2)(-x + 3) = 0

(x + 2)(x - 3) = 0

x - 2 = x - 3

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following gives all the solutions of $x^2-x=12$

-4 and 3

-3 and 4

-2 and 6

12 and 13

13 only

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following are the values of x for which $2x^2=3-5x$

$-\frac{\text{1}}{\text{2}}\ and\ 3$

$-1\ and\ \frac{3}{2}$

$-\frac{3}{2}\ and\ 1$

$-2\ and\ 3$

$-3\ and\ \frac{1}{2}$

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What value must be added to $x^2-10x$ to "complete the square"?

-5

5

16

20

25

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following is a factor of $a^2+7a-18$ ?

a - 9

a - 3

a - 2

a + 3

a + 6

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the discriminant and state the nature of the roots: $y=2x^2+5x+11$

-63, Two Imaginary Solutions

-63, Two Real Solutions

65, Two Real Solutions

65, Two Imaginary Solutions

Tags

CCSS.HSA.REI.B.4

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the value of the discriminant and state the nature of the roots. $y=x^2+7x-4$

-63, Two Imaginary Solutions

-63, Two Real Solutions

65, Two Real Solutions

65, Two Imaginary Solutions

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the value of the discriminant and state the nature of the roots.
$y=2x^2+5x-10$

65, Two Real Solutions

105, Two Real Solutions

49, Two Real Solutions

33, Two Real Solutions

9.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the value of the discriminant and state the nature of the roots.
$y=x^2-5x-6$

105, Two Real Solutions

83, Two Real Solutions

65, Two Real Solutions

49, Two Real Solutions

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the value of the discriminant and state the nature of the roots.
$y=3x^2-5x+9$

-33, Two Imaginary Solutions

-65, Two Imaginary Solutions

-83, Two Imaginary Solutions

-63, Two Imaginary Solutions

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Solving Quadratics

15 questions

Which of the following equations has both x=2 and x=-3 as solutions?

Which of the following gives all the solutions of x2−x=12x^2-x=12x2−x=12

Which of the following are the values of x for which 2x2=3−5x2x^2=3-5x2x2=3−5x

What value must be added to x2−10xx^2-10xx2−10x to "complete the square"?

Which of the following is a factor of a2+7a−18a^2+7a-18a2+7a−18 ?

Find the discriminant and state the nature of the roots: y=2x2+5x+11y=2x^2+5x+11y=2x2+5x+11

Find the value of the discriminant and state the nature of the roots. y=x2+7x−4y=x^2+7x-4y=x2+7x−4

Find the value of the discriminant and state the nature of the roots. y=2x2+5x−10y=2x^2+5x-10y=2x2+5x−10

Find the value of the discriminant and state the nature of the roots. y=x2−5x−6y=x^2-5x-6y=x2−5x−6

Find the value of the discriminant and state the nature of the roots. y=3x2−5x+9y=3x^2-5x+9y=3x2−5x+9

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Discover more resources for Mathematics

Which of the following gives all the solutions of $x^2-x=12$

Which of the following are the values of x for which $2x^2=3-5x$

What value must be added to $x^2-10x$ to "complete the square"?

Which of the following is a factor of $a^2+7a-18$ ?

Find the discriminant and state the nature of the roots: $y=2x^2+5x+11$

Find the value of the discriminant and state the nature of the roots. $y=x^2+7x-4$

Find the value of the discriminant and state the nature of the roots.
$y=2x^2+5x-10$

Find the value of the discriminant and state the nature of the roots.
$y=x^2-5x-6$

Find the value of the discriminant and state the nature of the roots.
$y=3x^2-5x+9$