What is the answer to (2x^2+8)^{1/4}=x ?

The answer to (2x^2+8)^{1/4}=x is x=2

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(2x^2+8)^{1/4}=x

(2 x^{2} + 8)^{\frac{1}{4}} = x

x = 2

Solution steps

(2 x^{2} + 8)^{\frac{1}{4}} = x

Take both sides of the equation to the power of

4 : 2 x^{2} + 8 = x^{4}

2 x^{2} + 8 = x^{4}

Solve

2 x^{2} + 8 = x^{4} : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions:

x = 2

True

, x = - 2

False

The solution is

x = 2

4 x + 20 = x + 2

x = 24

2 t + 3 = - 3

x + 9 = 25