SSC CGL 2025 PYQ — Question 55

SSC CGL - 20 Sep 2025 - Shift 3 • Quantitative Aptitude • Q55

If x=​5+2x=​\sqrt5+2, find the value of x2−45x^2-4\sqrt5.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 9.

x = √5 + 2

⇒ x2 = (√5 + 2)2 = 5 + 4√5 + 4 = 9 + 4√5

⇒ x2 – 4√5 = 9