What is the answer to x-sqrt(x)-\sqrt[4]{x}=69 ?

The answer to x-sqrt(x)-\sqrt[4]{x}=69 is x=81

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x-sqrt(x)-\sqrt[4]{x}=69

x = 81

Solution steps

Use the following exponent property

Rewrite the equation with

u^{4} - u^{2} - u = 69

Solve

u^{4} - u^{2} - u = 69 : u = 3, u \approx - 2.93991 \dots

u = 3, u \approx - 2.93991 \dots

Substitute back

solve for

x

Solve

No Solution for

x \in R

x = 81

Verify Solutions:

x = 81

True

The solution is

x = 81

(3 x + 5)^{\frac{3}{7}} = 64

z^{3} - 7 z^{\frac{3}{2}} - 8 = 0

z^{\frac{3}{2}} - 512 = 0

y, x = 5 y - 4

What is the answer to x-sqrt(x)-\sqrt[4]{x}=69 ?
The answer to x-sqrt(x)-\sqrt[4]{x}=69 is x=81
Solve for x: x-sqrt(x)-\sqrt[4]{x}=69
The solution is x=81