For what values of x is the equation x2−x=20 true?

For what values of x is the equation x² − x = 20 true?

Subtract 20 from both sides.

To solve the equation, factor using formula . To find a and b, set up a system to be solved.

As ab is negative, a and b have the opposite signs. As a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product -20.

Calculate the sum for each pair.

The solution is the pair that gives sum -1.

Rewrite factored expression using the obtained values.

To find equation's solutions, solve x-5=0 and x+4=0.

⇨ The value of x is 5 & - 4.

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step-by-step explanation: