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.

Question
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)

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
0

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