Transcription of BEST METHODS FOR SOLVING QUADRATIC …
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BEST METHODS FOR SOLVING QUADRATIC …
best METHODS FOR SOLVING QUADRATIC inequalities . I. GENERALITIES There are 3 common METHODS to solve QUADRATIC inequalities . Therefore, students sometimes are confused to select the fastest and the best SOLVING method. I generally explain below these 3 METHODS and then compare them through selected examples. SOLVING a QUADRATIC inequality, in standard form f(x) = ax^2 + bx + c > 0 (or < 0), means finding all the values of x that make the inequality true. These values of x constitute the solution set of the inequality. The solution set of a QUADRATIC inequality are expressed in the form of intervals. Examples of QUADRATIC inequalities : x^2 8 x + 7 < 9 3x^2 + 4x 7 < 0 5x^2 12x > 17 (3x 5)(4x + 1) < 0 3x/(x -1) + 4x/(3 x) > 1 1/(x 2) + 2/(x 3) > 2 Examples of solution set expressed in terms of intervals: (-2, 3) ( , ) (-infinity, 3] [-1/3, 13/5] [4, +infinity) II.
BEST METHODS FOR SOLVING QUADRATIC INEQUALITIES. I. GENERALITIES There are 3 common methods to solve quadratic inequalities. Therefore, students sometimes
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