How do you solve (x+7)^(3/2)-20=7?

1 Answer
Apr 22, 2018

x=2

Explanation:

(x+7)^(3/2) -20 = 7

Rearrange equation.

(x+7)^(3/2) = 27

To get rid of the power, first cube root it and then square it.

((x+7)^(3/2*1/3)) = 27^(1/3)

(x+7)^(3/6) = 3 -> (x+7)^(1/2) = 3

(x+7)^(1/2 * 2) = 3^2 -> x+7 = 9

Rearrange equation to make x the subject.

x+7 = 9 -> x= 9-7
x=2