SOLUTION: explain how to solve a quadratic equation by completing the square. Demonstrate the process with your own example.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: explain how to solve a quadratic equation by completing the square. Demonstrate the process with your own example.      Log On


   

Question 328801: explain how to solve a quadratic equation by completing the square. Demonstrate the process with your own example.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Solve



by completing the square

Step 1: Move the constant term to the right hand side.



Step 2: Multiply both sides by



Step 3: Divide the coefficient on the first order term by 2, square the result, and add that result to both sides:



Step 4: Determine and apply the LCD in the RHS:



Step 5: Factor the perfect square trinomial in the LHS:



Step 6: Take the square root of both sides. Consider both positive and negative roots:



Step 7: Add the opposite of the constant term in the LHS to both sides:



Simplify if possible and you are done. You can find your own example to use.

John