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picture1_Quadratic Inequalities Pdf 181465 | Lecture 31 Handout


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File: Quadratic Inequalities Pdf 181465 | Lecture 31 Handout
Lecture 31 Quadratic Inequalities Quadratic inequalities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Visualization. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Geometric solution. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Geometric solution. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 What if a < 0? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Example 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Example 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Example 3 ...

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...Lecture quadratic inequalities visualization geometric solution what if a example summary i wewill solve of the following types ax bx c then parabola opens upward x two intercepts one intercept no downward ii let us inequality in case when y thus to we need nd where is above axis for which now again below or on iii wehave choice either using as did don t forget that with down multiply both sides by like order make coecient positive reverse sign since determine they are roots equation therefore looks follows have all see those ll interval answer can be written several ways simply iv...

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