Solving Quadratic Equations by Completing the Square
Now, we will complete the square to solve a quadratic equation.
We can write the solutions using shorthand notation:
Here is a procedure we can use to solve any quadratic equation.
The symbol Â± is read â€œplus or minus.â€
Procedure â€” To Solve a Quadratic Equation by Completing the Square
Step 1 Isolate the x2-term and the x-term on one side of the equation.
Step 2 If the coefficient of x2 is not 1, divide both sides of the equation by the coefficient of x2.
Step 3 Find the number that completes the square:
Step 4 Add the result of Step 3 to both sides of the equation.
Step 5 Write the trinomial as the square of a binomial.
Step 6 Finish solving using the Square Root Property.
Step 7 Check each solution.