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How To Work Out Quadratic Equations
Solving Quadratic Equations
So far, we have only done an example when the value before the x2 isequal to 1. It works exactly the same way though whatever the value is.
eg.
3x2 - 8x + 4 = 0
(The two numbers are -6 and -2)
3x2-6x-2x+4=0
3x(x-2)-2(x-2)=0
(3x-2)(x-2)=0
3x-2=0
3x=2
x=2/3
x-2=0
x=2
Therefore the two solutions here are 2/3 and 2
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Solving Quadratic Equations
A student is trying to solve the equation (x + 5)(x - 8 ) = 10. The student has set x + 5 = 10 and x - 8 = 10 and found the two solutions x = 5, x = 18. The student checks her results by plugging in her solutions into the original equation and finds that they do not work. How would you help her?
