Question

under what condition the quadratic equation px square +qx+r have equal roots​

Answer 1

Answer:

Step-by-step explanation:

When D = 0,

i.e q square - 4 x p x r = 0

Answer 2

We have a quadratic equation ie

px^2 + qx + r

Here, a = p , b = q and c = r

.) Now, according to quadratic equation

D = b^2 - 4ac

.) Now , according to the question

D = q^2 - 4pr

Now when D = 0 , then roots of an equation are equal

.) Hence , we get

0 = q^2 -4pr

=> q^2 = 4pr

=> q = ± 2√pr

Hence under this condition , the equation will have equal roots.