What is the answer to \sqrt[3]{x}-4\sqrt[6]{x}=32 ?

The answer to \sqrt[3]{x}-4\sqrt[6]{x}=32 is x=262144

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\sqrt[3]{x}-4\sqrt[6]{x}=32

x = 262144

Solution steps

Use the following exponent property

Rewrite the equation with

u^{2} - 4 u = 32

Solve

u^{2} - 4 u = 32 : u = 8, u = - 4

u = 8, u = - 4

Substitute back

solve for

x

Solve

No Solution for

x \in R

x = 262144

Verify Solutions:

x = 262144

True

The solution is

x = 262144

(x + 1)^{\frac{3}{2}} - 2 = 25

x - 9 = - 6 x + 54

x = 10 x - 11

27 y^{2} - 4 \times 4 y = 0

x^{\frac{1}{3}} = - 8

What is the answer to \sqrt[3]{x}-4\sqrt[6]{x}=32 ?
The answer to \sqrt[3]{x}-4\sqrt[6]{x}=32 is x=262144
Solve for x: \sqrt[3]{x}-4\sqrt[6]{x}=32
The solution is x=262144