Question
Mathematics Question on Complex Numbers and Quadratic Equations
l,m,n the real, l=m, roots of the equation (l−m)x2−5(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(l−m)2>0 ∴ roots are real and unequal.