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1. twenty times a positive integer is less than its square by 96. What is the integer ?

A. 20

B. 24

C. 30

D. Cannot be determined

Solution:

Let the integer be x
Them,

\begin{aligned} \Leftrightarrow x^{2} - 20 x = 96 \\ \Leftrightarrow x^{2} - 20 x - 96 = 0 \\ \Leftrightarrow (x + 4) (x - 24) = 0 \\ \Leftrightarrow x = 24 \end{aligned}

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