Solve x^2 x^3 =x - ScanMath

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Type your math problem... x^2 x^3 =x

Question

Solve the equation

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

Evaluate

x^{2} \times x^{3} = x

Multiply the terms

More Steps

Evaluate

x^{2} \times x^{3}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

x^{2 + 3}

Add the numbers

x^{5}

x^{5} = x

Move the expression to the left side

x^{5} - x = 0

Factor the expression

x (x^{4} - 1) = 0

Separate the equation into 2 possible cases

x = 0 x^{4} - 1 = 0

Solve the equation

More Steps

Evaluate

x^{4} - 1 = 0

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

x^{4} = 0 + 1

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

x^{4} = 1

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

x = \pm 41

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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