mac1147_lecture6_1_b

mac1147_lecture6_1_b - L6 Other Types of Equations...

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65 L6 Other Types of Equations Equations that Lead to Quadratic Equations Example : Solve the equation 2 18 2 22 x x xx x + −= −−
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66 Example : Rewrite without negative exponents and solve for x 21 33 0 x x −− −+ =
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67 Equations with Radical and Rational Exponents When solving an equation linear in form with radicals or rational exponents, simplify the equation, isolate the most complicated radical on one side, and then raise both sides to the power equal to the index of the radical in order to eliminate the last. You may need to repeat this procedure if the resulting equation still contains a radical. Note : We solve radical equations over the real numbers. Caution! If you raise both sides of an equation to an even power , the new equation may have more real solutions than the original one. Example : Equation 6 x = has solution set: {6}. Raising both sides to the power 2, gives the equation 2 36 x = which has solution set 6 x = ± .
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mac1147_lecture6_1_b - L6 Other Types of Equations...

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