Question

If $l,m$ are real $l\ne m$ then the roots of the equation $(l-m)x^2-5(l+m)x-2(l-m)=0$ are

• A. real and equal
• B. non real complex
• C. real and unequal
• D. none of these

Answer 1

Answer: (C)

real and unequal

$(l-m)x^2-5(l+m)x-2(l-m)=0$
$D=25{(l+m)}^2+8{(l-m)}^2>0$
Therefore, the roots are real and unequal.
Ans: C