Complex Numbers And Quadratic Equations question 747

Question: The equation $ x^{2}+qx+rp=0, $ has [IIT 1997 Cancelled]

Options:

A) No solution

B) One solution

C) Two solutions

D) More than two solutions

Show Answer

Answer:

Correct Answer: A

Solution:

Given $ \sqrt{(x+1)}-\sqrt{(x-1)}=\sqrt{(4x-1)} $ Squaring both sides, we get $ -2\sqrt{(x^{2}-1)}=2x-1 $ Squaring again, we get $ x=5/4 $ which does not satisfy the given equation. Hence equation has no solution.