The roots of the equation 2a 2 x 2 – 2abx + b2 = 0 when a < 0 and
| The roots of the equation 2a2x2 – 2abx + b2 = 0 when a < 0 and b > 0 are :
A. Sometimes complex
B. Always irrational
C. Always complex
D. Always real
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
We have, 2a2x2 – 2abx + b2 = 0
Discriminant, D = (-2ab)2 – 4 (2a2) (b2)
=4a2b2 – 8a2b2
= - 4a2b2 < 0
Then Discriminant < 0
It mean that Roots will always complex.