If eleven is added to the square of a number, the result is sixty, Find all such numbers.

If eleven is added to the square of a number, the result is sixty, Find all such numbers.

Equations and inequalities
asked 2021-01-22
If eleven is added to the square of a number, the result is sixty, Find all such numbers.

Answers (1)

Let x be the number so we write the equation: \(\displaystyle{x}^{{2}}+{11}={60}\)
Solve for x. Subtract 11 from both sides: \(\displaystyle{x}^{{2}}+{11}-{11}={60}-{11}\)
Use the square root property: \(\displaystyle{x}^{{2}}={a}\to{x}=\pm\sqrt{{a}}\)
-7 and 7

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