SSC CGL 2022 PYQ — Question 99

SSC CGL Tier II - Quant - 29 Jan 2022 • Quantitative Aptitude • Q99

If 2x2 + 5x + 1 = 0, then one of the values of x - 12x\frac{1}{2x}is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. √172\frac{√17}{2}

2x2 + 5x + 1 = 0

On dividing the above equation by 2x we get,

x + 5/2 + 1/2x = 0

x + 1/2x = -5/2

As we know that,

(a - b)2 = (a + b)2 - 4ab

(x - 1/2x)2 = (x + 1/2x)2 - 4 × x × 1/2x.

(x - 1/2x)2 = -5/2 × -5/2 - 2

(x - 1/2x) = √172\frac{√17}{2}.