Question

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

• A. Real and Equal
• B. Complex
• C. Real and Unequal
• D. None of the above

Answer 1

The correct option is C Real and Unequal

Let we check the descriminant

Descriminant =$25(l+m{)}^2+4(l-m{)}^2$ which is always >0

$\therefore$it has real and unequal roots