SSC CHSL 2022 PYQ — Question 64

The correct answer is Option 2, i.e. 58.25.

$(x -{1 \over x})=7.5$

(a - b)² = a² + b² - 2ab

According to the given question,

$x - {1\over x} = 7.5$

So, squaring both sides, we get

$(x - {1\over x})^2 = (7.5)^2$

⇒ $x^2 + {1 \over x^2} - 2 = 56.25$

⇒ $x^2 + {1 \over x^2} = 56.25 + 2$

⇒ $x^2 + {1 \over x^2} = 58.25$

Hence, the required value is 58.25.