Transcription of 9.2 Solving Quadratic Equations by Completing the Square
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9.2 Solving Quadratic Equations by Completing the Square
2001 McGraw-Hill Companies679 Solving Quadratic Equations by Completing the a Quadratic equation by the squareroot a Quadratic equation by completingthe a geometric application involving aquadratic equationIn Section , we solved Quadratic Equations by factoring and using the zero productrule. However, not all Equations are factorable over the integers. In this section, we willlook at another method that can be used to solve a Quadratic equation, called the squareroot , we will solve a special type of equation using the factoring methodof Chapter Equations by FactoringSolve the Quadratic equation x2 16by write the equation in standard form:x2 16 0 Factoring, we have(x 4)(x 4) 0 Finally, the solutions arex 4orx 4or 4 Example 1 NOTEHere, we factor thequadratic member of theequation as a difference YOURSELF 1 Solve each of the following Quadratic Equations .(a)5x2 180(b)x2 25 The equation in Example 1 could have been solved in an alternative fashion.
The following algorithm summarizes our work in this section with solving quadratic equations by completing the square. Step 1 Isolate the constant on the right side of the equation.
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