Algebra › Section I · Quadratic equations and functions › Topic I.4
Equations in quadratic form
Some equations are quadratics wearing a costume: the exponents follow a 2:1:0 pattern that ordinary quadratic skills never touch. One substitution removes the costume, and everything you know about quadratics applies.
In this topic
- Spotting the costume
- The substitution move
- Back-substitution: where solutions multiply
- Worked example: a quartic, start to finish
- Cubes and reciprocals as the inner variable
- Worked example: a sixth-degree equation
- Why checking is non-negotiable here
- Common mistakes to avoid
- Key takeaways
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