What is the answer to (5x^2-4)^{1/4}=x ?

The answer to (5x^2-4)^{1/4}=x is x=2,x=1

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(5x^2-4)^{1/4}=x

(5 x^{2} - 4)^{\frac{1}{4}} = x

x = 2, x = 1

Solution steps

(5 x^{2} - 4)^{\frac{1}{4}} = x

Take both sides of the equation to the power of

4 : 5 x^{2} - 4 = x^{4}

5 x^{2} - 4 = x^{4}

Solve

5 x^{2} - 4 = x^{4} : x = 2, x = - 2, x = 1, x = - 1

x = 2, x = - 2, x = 1, x = - 1

Verify Solutions:

x = 2

True

, x = - 2

False

, x = 1

True

, x = - 1

False

The solutions are

x = 2, x = 1

2 x = x - 3

2 x + 13 = x + 7

x - x = 6

4 y + 29 - y - 4 = 6

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

What is the answer to (5x^2-4)^{1/4}=x ?
The answer to (5x^2-4)^{1/4}=x is x=2,x=1
Solve for x: (5x^2-4)^{1/4}=x
The solution is x=2,x=1