Question

The roots of the equation$a^2{x}^2+abx=b^2,a\ne 0$are:

• A. Imaginary
• B. real
• C. zero
• D. can’t say

Answer 1

The correct option is B real

$D=(ab{)}^2+4a^2{b}^2=5a^2{b}^2$

$a^2{b}^2$has to be greater than or equal to 0 (i.e.,)$D>0.$So,roots are always real.