MAC1105 Lecture 4: 1.5 Radical Equations; Equations Quadratic in Form; Absolute Equations; Factorable Equations Notes
15 Feb 2017
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Provide a generalization to the terms listed in this section. Radical equations are equations that have a variable in a root square root, cubic root, etc These solutions occur when the apparent solution, after originally solving the equation, do not equal the original equations when plugged back in to check, which rechecking is the main point of solutions to con rm when dealing with radical equations. B 11 3 + 3 = 0 + 3. B 11 = 3 (cid:16) b 11(cid:17)2. 3v + 4 4 = 16 4. 3v + 4 + 10 = 6 p3(4) + 4 + 10 = 6. With and without extraneous solutions example c 7 = 2c + 1 (c 7)2 = (cid:0) 2c + 1(cid:1) c2 14c + 49 = 2c + 1. 2 c2 16c + 48 = 0 (c 12)(c 4) = 0 c2 14c + 49 (2c + 1) = 2c + 1 (2c + 1) c = 4, 12.
