quadratic vs quadratic equation

quadratic and quadratic equation both are nouns.

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

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

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

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

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