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1. If the sum of a number and its square is 182, what is the number ?

A. 15

B. 26

C. 28

D. 91

Solution:

Let the number be x
Then,

\begin{aligned} \Leftrightarrow x + x^{2} = 182 \\ \Leftrightarrow x^{2} + x - 182 = 0 \\ \Leftrightarrow (x + 14) (x - 13) = 0 \\ \Leftrightarrow x = 13 \end{aligned}

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