CHAPTER 9 REVIEW Important Properties and Formulas Square root property: For any real number k, if ( 29 k b ax = + 2 , then k b ax ± = + . To solve a quadratic equation in x by completing the square: 1. Isolate the terms with variables on one side of the equation, and arrange them in descending order. 2. Complete the square by taking half of the coefficient of x and adding its square to both sides. 3. Express one side as the square of a binomial and simplify the other side. 4. Use the square root property. 5. Solve for x by adding or subtracting on both sides. The quadratic formula: a ac b b x 2 4 2-±-= To solve a quadratic inequality: 1. Get 0 on one side and solve the related equation by factoring. 2. Use the numbers found in step (1) to divide the number line into intervals. 3. Use a test value from each interval, find the intervals for which the inequality is satisfied.
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This note was uploaded on 04/07/2008 for the course MATH 006A taught by Professor Sdesousa during the Spring '08 term at San Jose State.