Algebra 2: Section 5.1 - nth Roots and Rational Exponents

[@wxrd_]

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[@sabuba47913]

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[@yuriseong]

8 years too late but this really helped me!

[@jackiswack]

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[@alreem07]

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[@TitanTubs]

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[@wxrd_]

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[@cathytung9098]

Thank you so much for the video. very clear and helpful. quick question for the last example- why there is only 1 answer? could X=1 work?

[@curtaincommander]

You're right! Whenever taking an even root as a step in solving, both positive and negative solutions are possible. Thanks for pointing that out!

[@cathytung9098]

thank you for the quick response! have a great day!

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[@Yarkz.]

For the second problem of Example 4, wouldn't you have to add the plus or minus sign before the 9?

[@curtaincommander]

You're right! Although it shouldn't be +/- 9 for the answer... I should have had +/- 4 after I'd taken the 4th root of each side. So we actually get two solutions: x=5+4 and x=5-4... x=1 and x=9 for final solutions.

[@Whyamisopretty]

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[@sabuba47913]

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[@balenciaga6714]

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[@cariielove57]

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[@bachlintrom5256]

what about x=1 in example. (x-5)**4 = 256, that is a real value of x …

[@curtaincommander]

You're right! Whenever taking an even root as a step in solving, both positive and negative solutions are possible. Thanks for pointing that out!