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solve the equation by factoring (3z-6)^-1/3 -5(3z-6)^-4/3=0

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solve the equation by factoring (3z-6)^-1/3...

solve the equation by factoring (3z-6)^-1/3 -5(3z-6)^-4/3=0

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asked Feb 8, 2013 in Algebra 2 Answers by anonymous

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1 Answer

Let y=(3z-6)^-1/3, y³=1/(3z-6), then y-5y⁴=0=y(1-5y³)=0 so y=0 or y³=⅕.

There is no solution for z if y=0, so y³=⅕=1/(3z-6), 3z-6=5, z=11/3.

answered Jul 8, 2022 by Rod Top Rated User (1.2m points)

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