quadratic equation vs quadratic

quadratic equation and quadratic both are nouns.

Word	Noun	Adjective	Verb	Adverb
quadratic equation	Yes	No	No	No
quadratic	Yes	Yes	No	No

As nouns, quadratic equation and quadratic are synonyms defined as:

quadratic equation and quadratic: an equation in which the highest power of an unknown quantity is a square

quadratic equation (noun)	quadratic (noun)
an equation in which the highest power of an unknown quantity is a square	a polynomial of the second degree
	an equation in which the highest power of an unknown quantity is a square

quadratic equation (adjective)	quadratic (adjective)
	involving the second and no higher power of a quantity or degree