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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