Extracting Roots

Find the solutions of the equation x² - 16 = 0 by extracting the square root.

• x = 4 and x = -4

• x = 4

• x = -4

• no answer

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

• s = 25 and s = -25

• s = 5 and s = -5

• s = 5 and s = 25

• s = -5 and s= -25

What equation has the roots of x = 7 and x = -7?

• x² - 14 = 0

• x² - 49 = 0

• x² + 49 = 0

• x² = 14

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

• s = 9/2 and s = -9/2

• s = 9 and s= -9

• s = 2 and s = -2

• s = 13 and s = -13

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

• t =4 and t = -4

• t = 2 and t = -2

• t = 3 and t = -3

• t = 9 and 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)

• 2x² – 5x – 7 = 0

What is the solution of the equation a² – 60 = 21?

• positive or negative 4

• positive or negative 6

• positive or negative 7

• positive or negative 9

Which of the following 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

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

• 5 and –3

• –5 and 3

• 7 and –4

• –12 and 3