Solving Square Root Worksheet (x - k) ^2 Part 2

4. 3 (x - 2) ^2 = 40

5. - 2 (x - 1) ^2 = 36

6. 4 (x - 1) ^2 = 8

4. x = 2 + 2sqrt (10/3), 2 - 2sqrt (10/3)

5. No real solutions

x = 1 + 3sqrt (2) i, 1 - 3sqrt (2) i,

6. x = 1 + sqrt (2), 1 - sqrt (2)

Step-by-step explanation:

4. 3 (x - 2) ² = 40

(x - 2) ² = 40/3

(x - 2) = + / - sqrt (40/3)

x - 2 = + / - 2sqrt (10/3)

x = 2 + / - 2sqrt (10/3)

5. - 2 (x - 1) ² = 36

(x - 1) ² = - 18

A perfect square can never be negative for real values of x

(x - 1) = + / - i * sqrt (18)

x - 1 = + / - i * 3sqrt (2)

x = 1 + / - i * 3sqrt (2)

6. 4 (x - 1) ² = 8

(x - 1) ² = 2

x - 1 = + / - sqrt (2)

x = 1 + / - sqrt (2)