Step-by-step explanation:
the discriminant of an equation, ax^2 + bx + c= 0 is
b^2 - 4ac
if b^2 - 4ac = 0
the equation will have equal roots therby being perfect
conclusion:
if the discriminant of an equation is zero
- the equation will have two roots
- the equation will have one real solution
- the curve of the equation will touch the x-axis at only one point
- the equation will be a perfect square
