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Edexcel A Level Maths: Pure:复习笔记2.2.4 Solving Quadratic Equations
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福利干货
Date: 2022年10月25日 上午11:53
Solving Quadratic Equations
Solving quadratic equations
We can solve quadratic equations when they are written in the form
If given an unusual looking equation, try to rearrange it into this form first
The three ways to solve a quadratic you must know are
Factorising
Completing the square
Quadratic formula
Solving a quadratic equation by factorising
Factorising is a great way to solve a quadratic quickly but won't work for all quadratics
If the numbers are simple, try factorising first
Once factorised, set each bracket to = 0 and solve
Solving a quadratic equation by completing the square
Completing the square will work for any quadratic
Make sure you know how to complete the square
Remember this will help with questions involving turning points too
Solving a quadratic equation by the quadratic formula
The quadratic formula might look complicated but it just uses the coefficients a, b and c from the quadratic equation
The quadratic formula will work for any quadratic
Solving a quadratic equation by using a calculator
Most calculators now have the ability to solve quadratics
Get used to how your calculator functions work
So the solution to the quadratic equation
Exam Tip
A calculator can be super-efficient but be aware some marks are for method
There will never be many marks for solving a quadratic at AS/A level
Use your judgement:
is it a “show that” or “prove” question?
how many marks?
how long is the question?
Remember the quadratic formula with a song... there are loads of fun ones on YouTube
Worked Example
转载自savemyexams
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