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How is an equation in quadratic form usually solved?
ABy dividing out every variable
BBy squaring both sides once
CBy graphing both sides first
DBy substituting one new variable
Answer & Solution
Correct answer: D. By substituting one new variable
1. An equation is in quadratic form when squaring the variable part of the middle term gives the first term.
2. Letting a new variable u stand for that middle variable part turns it into an ordinary quadratic.
3. Solve that quadratic by any usual method.
4. Then put the original expression back in place of u and finish solving.
_Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.4 Solve Quadratic Equations in Quadratic Form_