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Mathematics : Quadratic Equation Quiz
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x2
x
= 0
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|
NOTE: This quiz works best with Internet Explorer 4.0 or higher
How to Solve:
These equations can be solved by factoring the equation using a reverse-FOIL method. An example hopefully will make it easier. Given the equation:
1x2 - 5x + 6 = 0
Looking at this, we know that 6 is 3*2 and that (-3) + (-2) = -5
This step just takes practice and working many equations. So this factors to:
(x - 3)(x - 2) = 0
The above equation can be verified using the FOIL method, remember (First Outer Inner Last) So applying this gives:
First: x*x
Outer: x * -2
Inner: x * -3
Last : -3 * -2
Outer: x * -2
Inner: x * -3
Last : -3 * -2
Combining these gives:
(x*x) + (-2x) + (-3x) + (-3*-2)
Which can be reduced to:
x2 -5x + 6
Which is what we started with. So we know we factored it properly to:
(x - 3)(x - 2) = 0
Which tells us that the following two solutions are:
x = 3
x = 2
x = 2
This can be checked by substituting either one in.