Question

Suppose 푎,푏 denote the distinct real roots of the quadratic polynomial 푥 2 + 20푥 − 2020 and suppose 푐,푑 denote the distinct complex roots of the quadratic polynomial 푥 2 − 20푥 + 2020. Then the value of 푎푐(푎 − 푐) + 푎푑(푎 − 푑) + 푏푐(푏 − 푐) + 푏푑(푏 − 푑)

Answer 1

Answer:

If a=0, it becomes linear equation.

If b 2 −4ac=0, then there will be real and equal roots.

If b 2 −4ac<0, then the roots will be unreal.

Only if b 2 −4ac>0, we will get two real distinct roots.