Solving Quadratics by Taking Square Roots Irrational Solutions

Solve by taking the square root:

4x² = 100

• x = ±10

• x = ±25

• x = ±5

• x = 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.

• ±81

• ±9

• ±3

• No real solution

Solve for x.

x² = 36

• x = ± 6

• x = ± 18

• x = 6

• x = 18

Solve for x.

3x² = 48

• x = ± 4

• x = ± 12

• x = ± 16

• x = √16

Solve for x.

x² - 49 = 0

• x = ± 7

• x = √49

• x = ± 49

• (x - 7)(x + 7) = 0

Solve for x.

(x - 7)² + 4 = 40

• x = -1, -13

• x = 1, 7

• x = -1, -7

• x = 1, 13

• x = -7, -13

Solve for x.

(x - 4)² + 8 = 33

• x = -9, 1

• x = -1, 9

• x = 1, 9

• x = 3, 11

• x = -11, -3

Solve for x.

16x² - 9 = 0

• x = 1.333

• x = ± (4/3)

• x = ± (3/4)

• x = (9/16)