Question

8. Solve the equation. (X+3)^3/2-11=53
A. -19
B. -16,16
C. 13
D. 19,13

Answer 1

(x +3)^(3/2) - 11 = 53

(x +3)^(3/2) = 53 + 11

(x +3)^(3/2) = 64

Raise each side of the equation to power (2/3)

(x +3)^(3/2)^(2/3) = 64^(2/3)

(x +3)^(3/2 * 2/3) = 64^(2/3)

(x +3)^(1) = (∛64)^(2). Cube root of 64 = 4.

(x + 3) = 4^2

x +3 = 16

x = 16 - 3

x = 13

option c.

Hope this helps.

Answer 2

The answer is C. 13

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