AQA A Level Maths: Pure復(fù)習(xí)筆記2.2.5 Further Solving Quadratic Equations (Hidden Quadratics)

Category: A-level課程, 教材筆記, 福利干貨 Date: 2022年7月18日下午5:28

Further Solving Quadratic Equations (Hidden Quadratics)

What are hidden quadratic equations?

Hidden quadratic equations are quadratics written in terms of a function ?(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This might look complicated but it simply means χ?has been replaced by??(χ)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

2.2.5-Further-Solving-of-Quadratic-Equations-Example

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