AQA A Level Maths: Pure复习笔记2.2.5 Further Solving Quadratic Equations (Hidden Quadratics)
Further Solving Quadratic Equations (Hidden Quadratics)
What are hidden quadratic equations?
- Hidden quadratic equations are quadratics written in terms of a function ƒ(χ)
- A normal quadratic appears in the form
- Whereas a hidden quadratic appears in the form
- This might look complicated but it simply means χ has been replaced by ƒ(χ)
- e.g.
is just the hidden quadratic of 
How to solve hidden quadratic equations
- First rearrange the function into the form
- Replacing the function and solving the 'normal' quadratic first
- Then substitute the function back into the solutions to solve the original quadratic
Worked Example
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