### Theory:

Let the graph of the parabola be $$y = ax^2 + bx + c$$. The solutions of the quadratic equation are the $$x$$ coordinates of intersection of the curve with $$X$$ axis.
The steps to find the solution of the quadratic equation graphically is given by:

Step 1: Draw the graph of the equation $$y = ax^2 + bx + c$$.

Step 2: (i) If the graph intersects the $$X$$ - axis at only one point, then the given quadratic equation has only one root or two real and equal roots.

(ii) If the graph intersects the $$X$$ - axis at two distinct points, then the given quadratic equation has two real and unequal roots.

(iii) If the graph does not intersect the $$X$$ - axis at any point, then the given equation has no real root.