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Find all real numbers a that satisfy \frac{1}{64a^3 + 7} - 7 = 0.

 Jan 24, 2025
 #1
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we are trying to find the real numbers that satisfy 1/(64a^3)-7=0

first we add 7 to both sides 1/(64a^3)=7

then we multiply  to get     1=488a^3+49

subtract 49 to get -48=488a^3

-48/488=a^3

-3/28=a^3

so we have cuberoot(-3/28)=a

hope this helps

 Jan 24, 2025

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