Find the condition that one root of the equation ax^2+bx+c=0 is greater than the other by h.

We have to find the condition for which roots of ax^2 + bx + c = 0 have a difference of h.

We know that
Difference of roots = √(b²-4ac) / a or (√D)/a

=> h = √(b²-4ac)

=> h² = b²-4ac

When h² = b²-4ac holds true, the equation ax^2 + bx + c = 0 will have one root greater than the other by h.