MAT 095 Lecture Notes - Lecture 18: Rational Function
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Provide a generalization to each of the terms listed in this section. Rational equations: rational equations are equations with one or more rational expressions. If any of the given solutions did not apply to the original equation, then that solution is unde ned. If all of the given solutions don"t apply to the original equation, then the answer would be no solution . 3z2 + z 18z 6 = 0 (cid:0)3z2 + z(cid:1) + ( 18z 6) = 0 z (3z + 1) 6 (3z + 1) = 0 (3z + 1) (z 6) = 0. 3z + 1 1 = 0 1. 3 z 6 = 0 z 6 + 6 = 0 + 6 z = 6. U ndef ined p oint (s) x 6= 3 x 6= 2. 6 x+2 (x + 2) (x 3) 20x. X 6 (x + 2) (x 3) = x x2 x+2 (x + 2) (x 3)