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

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

2021-01-23
Let x be the number so we write the equation: $$\displaystyle{x}^{{2}}+{11}={60}$$
Solve for x. Subtract 11 from both sides: $$\displaystyle{x}^{{2}}+{11}-{11}={60}-{11}$$
$$\displaystyle{x}^{{2}}={49}$$
Use the square root property: $$\displaystyle{x}^{{2}}={a}\to{x}=\pm\sqrt{{a}}$$
$$\displaystyle{x}=\pm\sqrt{{49}}$$
x=+-7
-7 and 7

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