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Question

Mathematics Question on Complex Numbers and Quadratic Equations

l,m,nl,m,n the real, lml\, \ne\, m, roots of the equation (lm)x25(l+m)x2(lm)=0(l -m) x^2- 5(l + m)x -2(l- m) = 0 are.

A

real and equal

B

complex

C

real and unequal

D

none of these

Answer

real and unequal

Explanation

Solution

Discriminant =25(l+m)2+8(lm)2>0= 25 (l + m)^2 + 8 (l - m)^2 > 0 \therefore roots are real and unequal.