SOLUTION: how can i explain if the equation is not a quadratic

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Question 1084205: how can i explain if the equation is not a quadratic
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

by DEFINITION, quadratic equation is an equation of the form:
ax%5E2%2Bbx%2Bc=0 where a, b and c be real numbers, with a%3C%3E0
So, to check if an equation is a quadratic equation,you want to make two passes through it (both sides):
-Does it have an x%5E2 term appearing somewhere? If not, then it's not a quadratic equation.
Note: it can have lots of x%5E2 terms! The only other two term types that are allowed are x terms and constants terms.
(For example: no x%5E3 terms, no variables inside square roots, no variables in denominators, and so on.)
So, sweep across the equation and look for anything+other than x terms and constant terms.
If you find any, then it's not a quadratic equation.