Solve | x1 - x^2 |

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Type your math problem... | x1 - x^2 |

Question

Simplify the expression

x - x^{2}

Evaluate

x \times 1 - x^{2}

Solution

x - x^{2}

Show Solution

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

Evaluate

x \times 1 - x^{2}

To find the roots of the expression,set the expression equal to 0

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

Any expression multiplied by 1 remains the same

x - x^{2} = 0

Rewrite the expression

x - x^{2} = 0

Factor the expression

More Steps

Evaluate

x - x^{2}

Rewrite the expression

x - x \times x

Factor out x from the expression

x (1 - x)

x (1 - x) = 0

When the product of factors equals 0,at least one factor is 0

x = 0 1 - x = 0

Solve the equation for x

More Steps

Evaluate

1 - x = 0

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

- x = 0 - 1

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

- x = - 1

Change the signs on both sides of the equation

x = 1

x = 0 x = 1

Solution

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

Show Solution

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