What is the answer to (x^2+4)^{2/3}=25 ?

The answer to (x^2+4)^{2/3}=25 is x=11,x=-11

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(x^2+4)^{2/3}=25

(x^{2} + 4)^{\frac{2}{3}} = 25

x = 11, x = - 11

Solution steps

(x^{2} + 4)^{\frac{2}{3}} = 25

Take both sides of the equation to the power of

3 : (x^{2} + 4)^{2} = 15625

(x^{2} + 4)^{2} = 15625

Solve

(x^{2} + 4)^{2} = 15625 : x = 11, x = - 11

x = 11, x = - 11

Verify Solutions:

x = 11

True

, x = - 11

True

The solutions are

x = 11, x = - 11

2 x + 4 - x = 2

x + 1 + x - 2 = 0

x = 3 x + 10

8 x + 36 + 6 = x

7 t + 4 = - 5

What is the answer to (x^2+4)^{2/3}=25 ?
The answer to (x^2+4)^{2/3}=25 is x=11,x=-11
Solve for x: (x^2+4)^{2/3}=25
The solution is x=11,x=-11