Question

if roots of quadratic equqtion ax^2+bx+c=0 are equal, then show thatb^2=4ac​

Answer 1

For a quadratic equation,

ax^2 + bx + c = 0

If the both roots are equal then

Discriminant = 0 (zero)

i.e. b^2 -4ac. = 0

b^2 = 4ac

Hence proved.