What is the answer to sqrt(x)-4\sqrt[4]{x}-5=0 ?

The answer to sqrt(x)-4\sqrt[4]{x}-5=0 is x=625

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sqrt(x)-4\sqrt[4]{x}-5=0

x = 625

Solution steps

Use the following exponent property

Rewrite the equation with

u^{2} - 4 u - 5 = 0

Solve

u^{2} - 4 u - 5 = 0 : u = 5, u = - 1

u = 5, u = - 1

Substitute back

solve for

x

Solve

No Solution for

x \in R

x = 625

Verify Solutions:

x = 625

True

The solution is

x = 625

x^{3} - 2 x^{2} + 5 = 3 x + 10

(x - 5)^{\frac{3}{2}} = 8

x^{\frac{2}{3}} = 16

x = 7

What is the answer to sqrt(x)-4\sqrt[4]{x}-5=0 ?
The answer to sqrt(x)-4\sqrt[4]{x}-5=0 is x=625
Solve for x: sqrt(x)-4\sqrt[4]{x}-5=0
The solution is x=625