Question

If quadratic equation ax^2-2bx+3c=0 , a>0 has equal roots then prove b^2-3ac=0
PLEASE HELP ME FAST....​

Answer 1

Step-by-step explanation:

Say f(x)=ax

2

+2bx−3c

The inequality given in the question is equivalent to f(2)>0

Since equation has non real roots, f(x)>0 for all x

Hence, f(0)>0

So −3c>0 which implies c<0