Question 1803
a quadratic is any equation of the form {{{y=ax^2 + bx + c}}}, where a, b, c are constants.

The largest power is {{{x^2}}}. This ALWAYS gives a "u" or a "n" shaped graph. So, these shapes will cross the x-axis either 2 times, or perhaps just once or perhaps never...but NEVER more than 2 times.

Where the curve (equation) crosses the x-axis, these are the ROOTS, because here, we are saying at this/these point(s), y=0...what are the x-values.

Similarly, a straight line will cross the x-axis just once (or possibly never), but never more than once, so any straight line will have (usually) just 1 root..1 "answer".


cheers
Jon.