Question

Give any 4 examples for the quadratic equations with equal roots.​

Answer 1

Step-by-step explanation:

acc to which,

considering a general quadratic eqn.: ax²+bx+c=0

d=b²-4ac

and x= (-b±√d)/2a.

Now acc. to the law:

If d>0, two distinct real values of x exists

If d=0, two equal and real values of x exists

If d<0, no real value of x exists ( an imaginary number iota is used)

According to your question,

when b²-4ac=0 , x has real and equal roots

On further simplifying,

b²=4ac

Therefore, when b²=4ac , x has equal roots