Respuesta :

fencingparry4
The answer is C. 13

My nspire said so 
olemakpadu
(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.

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