If 2x²-6x=1 then x²+1 over 4x²=?

SSC CHSL 2021 PYQ — Question 63

If ${{2x^2-6x=1}}$ then $x^2+{{1} \over 4x^2}=?$

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 10.

Given that

${{2x^2-6x=1}}$

x - (1/2x) = 3

$x^2+{{1} \over 4x^2}=$ 9 + 2 * ½ = 10