Hi Jovian.

A quadratic equation is graphed as a parabola. The roots are the places where the parabola crosses the x axis. Remember that parabolas can be as narrow or as wide as you like. Now ask yourself this: Can there be more than one quadratic equation that results in the same two roots?

If you think about it, you'll realize that there are an infinite number of quadratic equations that have these two roots.

Cheers,
Stephen La Rocque.