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i need help with this problem... ill draw it..give me a minute please
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|dw:1337386000617:dw|
\[(x ^{\frac{1}{3}}+8)(x ^{\frac{1}{3}}-1)=0\]
We essentially have a quadratic in x^(1/3); in other words, we basically have to solve x^2 + 7x - 8 = 0 This can be done by factoring; we need to find two numbers that multiply to be -8 and add to be 7. 8 and -1 fit the bill, so our factorization is (x^(1/3) + 8)(x^(1/3) - 1) = 0 Setting each factor equal to zero gives x^(1/3) + 8 = 0 x^(1/3) = -8 x = -256 and x^(1/3) - 1 = 0 x^(1/3) = 1 x = 1 So those are your two answers.
\[x ^{\frac{1}{3}}=-8, x=-512\]
\[x ^{\frac{1}{3}}=1, x=1\]
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Ah why why am I bad at arithmetic yes that is right oh man i'm leaving now.
bye
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