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Lena [83]
3 years ago
6

What is x= if (8x^3-9)^3=5832

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0
(8x^3-9)^3=5832

Cube root each side.
∛5832 = 18. You can prime factorize to find this.

8x^3-9=18

Add 9 to each side.

8x^3=27

Divide by 8.

x^3=\frac{27}8

Cube root each side.

\boxed{x=\frac{3}2}
<em>
</em><em>Note that radicals with an odd index (cube roots, 5th, 7th, etc.) don't leave a plus-minus...If there's an even number all of the negatives cancel, but if it's odd, it won't, just as with exponents.</em>

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