What is the answer to 6(x+6)^{2/3}=54 ?

The answer to 6(x+6)^{2/3}=54 is x=21,x=-33

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6(x+6)^{2/3}=54

6 (x + 6)^{\frac{2}{3}} = 54

x = 21, x = - 33

Solution steps

6 (x + 6)^{\frac{2}{3}} = 54

Divide both sides by

6

(x + 6)^{\frac{2}{3}} = 9

Take both sides of the equation to the power of

3 : (x + 6)^{2} = 729

(x + 6)^{2} = 729

Solve

(x + 6)^{2} = 729 : x = 21, x = - 33

x = 21, x = - 33

Verify Solutions:

x = 21

True

, x = - 33

True

The solutions are

x = 21, x = - 33

3 x - 8 = x - 4

2 x - 6 = 10

3 x - 6 = 6

x^{2} + 1 = x - 2

- \frac{x}{9 - x ^{2}} = 0

What is the answer to 6(x+6)^{2/3}=54 ?
The answer to 6(x+6)^{2/3}=54 is x=21,x=-33
Solve for x: 6(x+6)^{2/3}=54
The solution is x=21,x=-33