Solving Quadratic Equations by Finding Square Roots

Solve:
x² - 49 = 0

• x = -7, x = 7

• x = -7

• x = 7

• x = -7, x = 1

Solve by taking square roots:
5m² + 1 = 6

• m = 0

• m = 1 or -1

• m = √7

• m = 7/5 m = -7/5

(2x - 4)² = 16

• x = 4

• x = 10

• x = -2

• x = 0, 4

Solve using square roots.
5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no solution

Which of the following are steps to solve a quadratic equation by square roots. (check all that apply)

• Identify a, b, and c

• get the squared value by itself

• cancel the square by taking the square root of each side

• remember to include the positive and negative root

• set the equation equal to zero

Solve using square roots.

• A

• B

• C

• D

2x²= 30

• x= √5

• x= √30

• x= √15

• x= ±5

(x + 3)² = 36

• x = √36

• x = √39

• x = -9 and x = 3

• x = 9 and x = -3

Solve the equation using square roots.
x² = 121

• 60.5

• ± 11

• ± 12

• 11

Use the square root property to solve the Quadratic Equation.
2(x - 4)² = 200

• ±10

• -14, 6

• -6, 14

• 100