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Mathematics - Lecture 8: Equations involving rational expressions, radicals, absolute values, and those in quadratic form

Mathematics - Lecture 8 "Equations involving rational expressions, radicals, absolute values, and those in quadratic form" presents the following content: Rational equations in x, equations involving radicals, equations in quadratic form, equations involving absolute values, solving equations via factoring. | Equations involving Rational Expressions, Radicals, Absolute Values, and those in Quadratic Form Mathematics 17 Institute of Mathematics, University of the Philippines-Diliman Lecture 8 Math 17 (UP-IMath) Equations Lec 8 1 / 19 Outline 1 Rational Equations in x 2 Equations involving Radicals 3 Equations in Quadratic Form 4 Equations Involving Absolute Values 5 Solving Equations via Factoring Math 17 (UP-IMath) Equations Lec 8 2 / 19 Equations involving Rational Expressions To solve: Math 17 (UP-IMath) Equations Lec 8 3 / 19 Equations involving Rational Expressions To solve: 1 Multiply the LCD to both sides of the equation 2 Solve the equation that arises 3 Drop any of the obtained solutions that make the rational expressions undefined (extraneous solutions). Math 17 (UP-IMath) Equations Lec 8 3 / 19 Example: Solve x+4 x+2 − 2x−3 x−5 = 3x−8 . x2 −3x−10 Solution: Math 17 (UP-IMath) Equations Lec 8 4 / .