Solve |x^5|=1 - ScanMath

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Type your math problem... |x^5|=1

x

Question

Solve the equation

x_{1} = - 1, x_{2} = 1

Evaluate

x^{5} = 1

Separate the equation into 2 possible cases

x^{5} = 1 x^{5} = - 1

Solve the equation for x

More Steps

Evaluate

x^{5} = 1

Take the 5 -th root on both sides of the equation

5 x^{5} = 51

Calculate

x = 51

Simplify the root

x = 1

x = 1 x^{5} = - 1

Solve the equation for x

More Steps

Evaluate

x^{5} = - 1

Take the 5 -th root on both sides of the equation

5 x^{5} = 5 - 1

Calculate

x = 5 - 1

Simplify the root

More Steps

Evaluate

5 - 1

An odd root of a negative radicand is always a negative

- 51

Simplify the radical expression

- 1

x = - 1

x = 1 x = - 1

Solution

x_{1} = - 1, x_{2} = 1

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