Solve x^3 = x^5 - ScanMath

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Type your math problem... x^3 = x^5

Question

Solve the equation

x_{1} = - 1, x_{2} = 0, x_{3} = 1

Evaluate

x^{3} = x^{5}

Move the expression to the left side

x^{3} - x^{5} = 0

Factor the expression

x^{3} (1 - x^{2}) = 0

Separate the equation into 2 possible cases

x^{3} = 0 1 - x^{2} = 0

The only way a power can be 0 is when the base equals 0

x = 0 1 - x^{2} = 0

Solve the equation

More Steps

Evaluate

1 - x^{2} = 0

Move the constant to the right-hand side and change its sign

- x^{2} = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

- x^{2} = - 1

Change the signs on both sides of the equation

x^{2} = 1

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 1

Simplify the expression

x = \pm 1

Separate the equation into 2 possible cases

x = 1 x = - 1

x = 0 x = 1 x = - 1

Solution

x_{1} = - 1, x_{2} = 0, x_{3} = 1

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