Question

For any quadratic equation $a{x}^2+bx+c=0,a,b,c\in Q,a\ne 0.$ The roots will be irrational and distinct if Discriminant and a perfect square.

• A. $D=0$
• B. $D>0$
• C. is
• D. is not

Answer 1

Answer: (B), (D)

is not

Given quadratic equation: $a{x}^2+bx+c=0.$
The equation has irrational and distinct roots.
Since, the roots of the equation are given by:
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$
The roots will be irrational iff: $b^2-4ac>0$ and is not a perfect square.