What is the answer to \sqrt[4]{3x^2+54}=x ?

The answer to \sqrt[4]{3x^2+54}=x is x=3

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\sqrt[4]{3x^2+54}=x

4 3 x^{2} + 54 = x

x = 3

Solution steps

4 3 x^{2} + 54 = x

Take both sides of the equation to the power of

4 : 3 x^{2} + 54 = x^{4}

3 x^{2} + 54 = x^{4}

Solve

3 x^{2} + 54 = x^{4} : x = 3, x = - 3

x = 3, x = - 3

Verify Solutions:

x = 3

True

, x = - 3

False

The solution is

x = 3

y, x^{\frac{2}{3}} + y^{\frac{2}{3}} = 2

2 x + 3 = x - 1

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

y, x = 1 - y

\frac{3 x + 18}{2 x + 9} = 0

What is the answer to \sqrt[4]{3x^2+54}=x ?
The answer to \sqrt[4]{3x^2+54}=x is x=3
Solve for x: \sqrt[4]{3x^2+54}=x
The solution is x=3