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Given the quadratic equation in general form:
Prove that the Quadratic Formula has a formula of
Solution:
There are three ways in solving the quadratic equation. First, you can solve the quadratic equation by factoring. Second, if you cannot factor the quadratic equation, you can solve it by completing the square. Third, you can solve the quadratic equation by using the Quadratic Formula. Right now, we will derive the formula for Quadratic Formula. Let's consider the quadratic equation in general form
Divide both sides of the equation by the coefficient of x2 which is a.
Transpose the third term to the right side of the equation
Apply the completing the square method to the above equation
Get the LCD at the right side of the equation
Take the square root on both sides of the equation
Therefore,
