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8-(x+9)^3=520

Solve using cube root. Please show work!!

8x93520 Solve Using Cube Root Please Show Work class=

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Answer:

[tex]8 -( x + 9)^{3} = 520 \\ \\ - {(x + 9)}^{3} = 520 - 8 \\ \\ - (x + 9) ^{3} = 512 \\ \\ - {(x + 9)}^{3 \times \frac{1}{3} } = \sqrt[3]{512} \\ \\ - (x + 9) = \sqrt[3]{512} \\ \\ - x - 9 = 8 \\ \\ - x = 8 + 9 \\ \\ - x = 17 \\ \\ x = - 17[/tex]

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