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Math Help - Find solutions

  1. #1
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    Find solutions

    Find all real-number solutions. Round your result(s) to the second decimal place. Verify that your results satisfy the equation.

    1.)

    5b^2=45

    My answer is:
    b=3


    2.)

    \frac{b^9}{b^6}=\frac{2}{9}

    my answer:
    b=.61


    Are the answers right?
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  2. #2
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    Westwood, Los Angeles, CA
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    For the first, how about b = -3? Remember when you take a square root, you get two answers (generally; not if the number you're taking the root of is 0, I guess.)
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  3. #3
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    Okay. What about the second problem? Was my answer correct? I was really unsure of it.
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  4. #4
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    Yep, I also got .61.

    \frac{b^9}{b^6} = b^3 = \frac{2}{9}

    so:

    b = \sqrt[3]{\frac{2}{9}}

    which is .61, rounded to the nearest hundredth.
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