What is the answer to \sqrt[3]{1-x}=x-1 ?

The answer to \sqrt[3]{1-x}=x-1 is x=1

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\sqrt[3]{1-x}=x-1

x = 1

Solution steps

Take both sides of the equation to the power of

3 : 1 - x = x^{3} - 3 x^{2} + 3 x - 1

1 - x = x^{3} - 3 x^{2} + 3 x - 1

Solve

1 - x = x^{3} - 3 x^{2} + 3 x - 1 : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

5 x - 11 - 5 = - 3

8 x + 52 - 15 = - 13

8 x + 65 = x + 10

- 3 = 22 - x - 3 x - 3

\frac{1}{2 x} - \frac{1}{3} = 0

What is the answer to \sqrt[3]{1-x}=x-1 ?
The answer to \sqrt[3]{1-x}=x-1 is x=1
Solve for x: \sqrt[3]{1-x}=x-1
The solution is x=1