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mac1140_lecture10_1

mac1140_lecture10_1 - L10 2.6 Other Types of Equations...

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78 L10 §2.6 Other Types of Equations Equations with Radicals (Rational Exponents) : In order to solve an equation with radicals/rational exponents, simplify the equation, isolate one radical on one side, and raise both sides to the same power as the index of the radical in order to eliminate the radical. You may need to repeat this procedure if the resulting equation still contains a radical. Be careful! If you raise both sides of an equation to an even power, the new equation may not be necessary equivalent to the original one and have more real solutions. Example : The equation 6 x = has solution set {6}. Squaring both sides gives the equation 2 36 x = , which has solutions 6 x = ±

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mac1140_lecture10_1 - L10 2.6 Other Types of Equations...

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