Solving Quadratic Equation by Extracting the Square Roots

Find the solutions of the equation x² - 81 = 0 by extracting the square root.

• x = 9 or x = -9

• x = 9

• x = -9

• no real solution

Find the solutions of the quadratic equation 2s² = 50.

• s = 25 or s = -25

• s = 5 or s = -5

• s = 5 or s = 25

• s = -5 or s= -25

Which of the following quadratic equation has the roots of x = 7 or x = -7?

• x² - 14 = 0

• x² - 49 = 0

• x² + 49 = 0

• x² +14 = 0

What are the roots of the quadratic equation (s - 4)² - 81 = 0?

• s = 9/2 or s = -9/2

• s = 9 or s= -9

• s = 5 or s = -13

• s = 13 or s = -5

What are the roots of the quadratic equation 3t² = 12?

• t =4 or t = -4

• t = 2 or t = -2

• t = 3 or t = -3

• t = 9 or t = -9

Which of the following quadratic equations can be solved by extracting square roots?

• x² + 3x – 4 = 0

• x² – 36 = 0

• (x + 1) (x – 3)=0

• 2x² – 5x – 7 = 0

Which of the following quadratic equation has a solution of x = 5?

• x² – 5 = 0

• x² – 50 = 0

• 2x² – 50 = 0

• 2x² – 10 = 0

How many real solution/s or root/s does the equation

n² = 0?

• 0

• 1

• 2

• 3

Tags

CCSS.8.EE.A.2

John is solving for equation (3y – 3)² – 144 = 0 by extracting square roots. Which of the following will be the solution/s or root/s?

• y = 5 or y = –3

• y = –5 or y = 3

• y = 7 or y = –4

• y = –12 or y = 3