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Additional Mathematics
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Additional Mathematics
Quadratic Equations and Inequalities
Additional Mathematics
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Quadratic Equations and Inequalities
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Methods used to solve quadratic equations
1) Completing the square 2) Formula
The quadratic equation with roots α and β
x^2 – (sum of roots)x + (product of roots)=0
Sum of roots = α + β
- b/a
Product of roots = αβ
c/a
Three methods can be used to solve quadratic inequality
1) Graph sketching 2) Number line 3) Table method
If (x-a)(x-b)>0
Then x
b
If (x-a)(x-b)<0
Then a
Table method
Number line method
Graf sketching method
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