What is the answer to 2(x+5)^{2/3}-11=7 ?

The answer to 2(x+5)^{2/3}-11=7 is x=22,x=-32

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2(x+5)^{2/3}-11=7

2 (x + 5)^{\frac{2}{3}} - 11 = 7

x = 22, x = - 32

Solution steps

2 (x + 5)^{\frac{2}{3}} - 11 = 7

Move

11

to the right side

2 (x + 5)^{\frac{2}{3}} = 18

Divide both sides by

2

(x + 5)^{\frac{2}{3}} = 9

Take both sides of the equation to the power of

3 : (x + 5)^{2} = 729

(x + 5)^{2} = 729

Solve

(x + 5)^{2} = 729 : x = 22, x = - 32

x = 22, x = - 32

Verify Solutions:

x = 22

True

, x = - 32

True

The solutions are

x = 22, x = - 32

x^{2} - 9 = 3 x - 11

1 + x = x

1 - \frac{9}{x ^{\frac{2}{3}}} = 0

\frac{4}{4 x + 6} = 2

m + 3 - 2 = 9

What is the answer to 2(x+5)^{2/3}-11=7 ?
The answer to 2(x+5)^{2/3}-11=7 is x=22,x=-32
Solve for x: 2(x+5)^{2/3}-11=7
The solution is x=22,x=-32