This time I will discuss the quadratic formula. This formula actually derived using the completing square method. In spite of writing all the steps, we just pick the final result.
Suppose we want to find the roots of the quadratic equation
STEP ONE : First move the constant to the right hand side of the equation.
STEP TWO : Divide both sides with a. We have this form of equation,
STEP THREE : Then we add both sides with the square of half of the x’s coeffiecient
The left hand sides is a complete square form.
STEP FOUR : Then we can rewrite is as a square of something, have a look.
STEP FIVE : Take the square root of both sides. Simplify the right hand side.
STEP SIX : Isolate the x to find the roots of the equation.
The final result is known as the quadratic formula. I have some examples and exercises. You can download them by click the following link.
Quadratic Equation, using quadratic formula.
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