Question

if (17)2 is subtracted from a square of a number (x),the result obtained is 1232. find the number 'x'

Answer 1

The number is x.
Now ${17}^2$ is subtracted from $x^2$ we get;
$$\begin{gathered} x^2-{17}^2=1232 \\ \Rightarrow x^2-289=1232 \\ \Rightarrow x^2=1521 \\ \Rightarrow x=\sqrt{1521}=39 \end{gathered}$$
Therefore the number is 39.