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The learner will solve quadratic equations by using the square root property.

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Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$x^{2}=25$

$\left \{ 0,5\right \}$
$\left \{ -\sqrt{5},\sqrt{5}\right \}$
$\left \{ -5,0\right \}$
$\left \{ -5,5\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$y^{2}-64=0$

$\left \{ -8,0\right \}$
$\left \{ -8,8\right \}$
$\left \{ 0,8\right \}$
$\left \{ -2\sqrt{2},2\sqrt{2}\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$4a^{2}=49$

$\left \{ 0,\frac{7}{2}\right \}$
$\left \{ -\frac{2}{7},\frac{2}{7}\right \}$
$\left \{ -7,7\right \}$
$\left \{ -\frac{7}{2},\frac{7}{2}\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$9b^{2}-100=0$

$\left \{ -10,10\right \}$
$\left \{ -\frac{3}{10},\frac{3}{10}\right \}$
$\left \{ -3,3\right \}$
$\left \{ -\frac{10}{3},\frac{10}{3}\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$0.04z^{2}=0.36$

$\left \{ -\frac{3}{5},\frac{3}{5}\right \}$
$\left \{-\frac{3}{10},\frac{3}{10} \right \}$
$\left \{ 0,3\right \}$
$\left \{ -3,3\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$0.16p^{2}=0.49$

$\left \{ -\frac{7}{4},\frac{7}{4} \right \}$
$\left \{ -\frac{7}{10},\frac{7}{10}\right \}$
$\left \{ -\frac{35}{2},\frac{35}{2}\right \}$
$\left \{ -\frac{7}{40},\frac{7}{40}\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$11x^{2}=33$

$\left \{ -\sqrt{3},\sqrt{3}\right \}$
$\left \{ -\sqrt{22},\sqrt{22}\right \}$
$\left \{ -3,3\right \}$
$\left \{ -\sqrt{33},\sqrt{33}\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$4r^{2}+5=9$

$\left \{ -\frac{3}{2},\frac{3}{2}\right \}$
$\left \{ -1,1\right \}$
$\left \{ -3,3\right \}$
$\left \{ -2,2\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$3d^{2}-10=38$

$\left \{ -4\sqrt{3},4\sqrt{3}\right \}$
$\left \{ -\frac{2\sqrt{21}}{3},\frac{2\sqrt{21}}{3} \right \}$
$\left \{ -4,4\right \}$
$\left \{ -16,16\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$9x^{2}-8=37$

$\left \{ -5,5\right \}$
$\left \{ -\frac{\sqrt{29}}{3},\frac{\sqrt{29}}{3}\right \}$
$\left \{ -\sqrt{5},\sqrt{5}\right \}$
$\left \{ -3\sqrt{5},3\sqrt{5}\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$75t^{2}-12=0$

$\left \{ -\frac{4}{25},\frac{4}{25}\right \}$
$\left \{ -\frac{2}{5},\frac{2}{5}\right \}$
$\left \{ -2\sqrt{3},2\sqrt{3}\right \}$
$\left \{ -\frac{5}{2},\frac{5}{2}\right \}$

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Solve this quadratic equation by using the square root property. Give exact solutions in simplified form.

$21x^{2}=189$

$\left \{ -\sqrt{3},\sqrt{3}\right \}$
$\left \{ -9,9\right \}$
$\left \{ -3,3\right \}$
$\left \{ -\frac{1}{3},\frac{1}{3}\right \}$

Question 1 of 10

Author

Wade Wells

Published: 6/18/2014

Last Updated: 6/18/2014

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Quadratic Equations: Solving by Using the Square Root Property by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.

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Quadratic Equations: Solving by Using the Square Root Property

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Quadratic Equations: Solving by Using the Square Root Property

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Quadratic Equations: Solving by Using the Square Root Property

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Quadratic Equations: Solving by Using the Square Root Property

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Quadratic Equations: Solving by Using the Square Root Property

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Quadratic Equations: Solving by Using the Square Root Property

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

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Quadratic Equations: Solving by Using the Square Root Property

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Quadratic Equations: Solving by Using the Square Root Property

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Quadratic Equations: Solving by Using the Square Root Property

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Quadratic Equations: Solving by Using the Square Root Property

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Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property

Question 1 of 10

Quadratic Equations: Solving by Using the Square Root Property