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Find all real numbers  that satisfy the equation below:
:
\(: \[\dfrac{1}{r^3 + 7} -7 = \frac{-r^3}{r^3 + 7}.\]\)

Dr.Amione  Jul 5, 2018
edited by Dr.Amione  Jul 5, 2018
 #1
avatar+942 
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Find all real numbers that satisfy the equation: \(\frac{1}{r^3+7}-7=\frac{-r^3}{r^3+7}\).

 

\(\frac{1}{r^3+7}-7=\frac{-r^3}{r^3+7}\\ \frac{1}{r^3+7}-\frac{-r^3}{r^3+7}=7\\ \frac{1+r^3}{r^3+7}=7\\ 1+r^3=7r^3+49\\ 6r^3=-48\\ r^3=-8\\ r=\boxed{-2} \)

 

I hope this helped,

 

Gavin

GYanggg  Jul 5, 2018
 #2
avatar+64 
+2

it helped! thx! NOW IMA GLEAN YA(joke. just read sythe. it's awesome.!)

Dr.Amione  Jul 8, 2018

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