Solve Equations by Taking Square Roots

Solve for x.

2(x + 5)² = 28

• x = 5 ± √14

• x = -5 ± 2√7

• x = -5 ± √14

• x = 5 ± 2√7

• x = 7, x = -5

Solve by taking the square root:

4x² = 100

• x = ±10

• x = ±25

• x = ±5

• x = 5

Solve using square roots.

• ±81

• ±9

• ±3

• No real solution

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

• m = 0

• m = 1 or -1

• m = √7

• m = 7/5 m = -7/5

Solve.

5b² - 4 = 41

• b = ±9

• b = ±3

• b = ±8

• No Real Number Solution

Solve using square roots.
k² - 6 = 43

• k = √37

• k = 37 or - 37

• k = 7, k = -7

• no solution

Solve using square roots.

• ±√9

• ±3

• ±1

• No real solution