What is the answer to sqrt(x)-\sqrt[4]{x}-6=0 ?

The answer to sqrt(x)-\sqrt[4]{x}-6=0 is x=81

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sqrt(x)-\sqrt[4]{x}-6=0

x = 81

Solution steps

Use the following exponent property

Rewrite the equation with

u^{2} - u - 6 = 0

Solve

u^{2} - u - 6 = 0 : u = 3, u = - 2

u = 3, u = - 2

Substitute back

solve for

x

Solve

No Solution for

x \in R

x = 81

Verify Solutions:

x = 81

True

The solution is

x = 81

x^{2} - 5 = 3 x

3 x^{\frac{16}{5}} - 192 x^{2} = 0

x = 2 x

x + 10 - 1 = x

What is the answer to sqrt(x)-\sqrt[4]{x}-6=0 ?
The answer to sqrt(x)-\sqrt[4]{x}-6=0 is x=81
Solve for x: sqrt(x)-\sqrt[4]{x}-6=0
The solution is x=81