Maths: Quadratic Equations

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What are the 4 steps for solving quadratic equations? (e.g. x2 - 5x + 6=0)

1. If necessary, rearrange the equation with one side being zero 2. Factorise fully the other side: (x-3 )(x-2) 3. Let each factor equal zero: x -3 = 0, x-2 = 0 4. Solve the resulting simple equations: x = 3, x= 2

How do you form a quadratic equation when given its roots? (e.g. -4 and 5)

Reverse the method of finding the factors: (x+4)(x+5)=0 is the quadratic equation with these roots x2 - x -20 = 0 is the equation


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