Solving Quadratic Equations by Square Root Method

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

Solve.

(2x - 4)² = 16

• x = 4

• x = 10

• x = -2

• x = 0, 4

Solve by taking the square root:
x² = 49

• -7

• 7

• 49

• -7, 7

Solve the quadratic using the square root method

3x² - 1 = 14

• 5

• -√5

• -√5, √5

• √5

• x=6

• x= -6, 6

• x= -4, 4

• x=-2, 2

Solve the quadratic using the square root method

5x² + 9 = 49

• 2√2

• -2√2

• -2√2, 2√2

• √8

Solve the quadratic using the square root method

x² =25

• 5

• -5

• -5, 5

• No Real Solutions

Answer explanation

The correct solutions to the quadratic equation x^2 = 16 are x = 4 and x = -4, as the square root of 16 is 4, and -4 when considering both positive and negative roots.

• A
• B
• C
• D