Discussion
If x is the smallest number which is to be subtracted from 7751 to make it a perfect square, then the value of \((3x - 5)\) is
Answer: D
The value of (3x - 5) is 16.
Find the largest perfect square not exceeding 7751. Since 882 = 7744 and 892 = 7921, the nearest square below is 7744.
\[ \begin{aligned} x &= 7751 - 7744 = 7 \\ 3x - 5 &= 21 - 5 = 16 \end{aligned} \]
Subtracting any smaller number leaves a number between 7744 and 7751, which is not a perfect square, so 7 is the smallest. The value 10 comes from using x = 5, and 13 from x = 6, neither of which works.
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