Subtract c from both sides of the equation.
Divide both sides by the coefficient of x2.
Divide the coefficient of x by 2, square it, then add to both sides.
Note: This makes a perfect square on the left side.
Simplify the left side into a square.
Simplify the right side by finding the lowest common denominator.
Add the fractions on the right.
Take the square root of both sides.
Note: The term +/-sqrt = plus or minus the square root of.
Subtract b/2a from both sides and simplify.
Do you understand my child?
AN EXAMPLE USING THE QUADRATIC FORMULA
2x2 + 3x + 22 = 49
2x2 + 3x + (-27) = 0
Using the quadratic formula...
x = [-3 +/-sqrt(32 - 4(2)(-27))]/[2(2)]
x = [-3 +/-sqrt(225)]/4
x = -3/4 +/-(15/4)
x = 3 or x = -4.5
This tutorial created and designed by
Curtis Lee Hall
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The Great Mathematician of Bates Hollow.
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