Question

Select the correct answer. What is the solution to this equation? (x+6)^1/3-5=-2

Answer 1

x = 21

Explanation:

`\sf(x+6)^(1)/(3) -5=-2`

First, add 5 to both sides.

`\sf(x+6)^(1)/(3) =-2+5\\\\\sf(x+6)^(1)/(3) =3\\\\\sqrt[3]{(x+6)} =3`

Cube both sides.

`\sqrt[3]{(x+6)} =3\\\\x+6=3^3\\\\x+6=27`

Subtract 6 from both sides.

`x+6=27\\\\x=27-6\\\\x=21`

Answer 2

x= 21

Explanation:

(x+6)^1/3-5=-2

Solve for x

Add 5 to each side

(x+6)^1/3-5+5=-2+5

(x+6)^1/3=3

Cube each side.

((x+6)^1/3)^3=3^3

x+6 = 27

Subtract 6 from each side

x+6-6 = 27-6

x= 21