Quantitative Aptitude – Algebra – Polynomials – If u^2 + (u-2v-1)^2

Slot -1 – Quantitative Aptitude – Algebra – Polynomials – If u^2 + (u-2v-1)^2

If u^2 + (u-2v-1)^2 = -4v(u + v), then what is the value of u + 3v?

a) -1/4

b) ½

c) 0

d) ¼

Solution:
Given, u^2 + (u-2v-1)^2 = -4v(u + v)

Or u^2+4vu+4 v^2 +(u-2v-1)^2 = 0

(u+2v)^2+ (u-2v-1)^2= 0

This will be zero only if u = -2v = 2v + 1

Or v = -1/4 & u = ½

So u + 3v = -1/4
Option a) -1/4 is correct.

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