What is the answer to \sqrt[4]{15x^2-54}=x ?

The answer to \sqrt[4]{15x^2-54}=x is x=3,x=sqrt(6)

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\sqrt[4]{15x^2-54}=x

x = 3, x = 6

Decimal Notation

x = 3, x = 2.44948 \dots

Solution steps

Take both sides of the equation to the power of

4 : 15 x^{2} - 54 = x^{4}

15 x^{2} - 54 = x^{4}

Solve

15 x^{2} - 54 = x^{4} : x = 3, x = - 3, x = 6, x = - 6

x = 3, x = - 3, x = 6, x = - 6

Verify Solutions:

x = 3

True

, x = - 3

False

, x = 6

True

, x = - 6

False

The solutions are

x = 3, x = 6

y - 1 = 0

y - 1 = 5

x - 4 = x - 6

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

What is the answer to \sqrt[4]{15x^2-54}=x ?
The answer to \sqrt[4]{15x^2-54}=x is x=3,x=sqrt(6)
Solve for x: \sqrt[4]{15x^2-54}=x
The solution is x=3,x=sqrt(6)