If function $(x + 296 × 298)$ is a perfect square, then the value of $x$ is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 1
The expression is interpreted as:
$x + 296 \times 298$
First simplify the product:
$296 \times 298 = (297 - 1)(297 + 1) = 297^2 – 1$
So the expression becomes:
$x + (297^2 - 1)$
For this to be a perfect square, we want:
$x + (297^2 - 1) = 297^2$
That gives: $x = 1$