SOLUTION: {{{x^4+y^4=2}}} and {{{x^8+y^8=3}}} then: {{{x^16+y^16=8&1/2}}} how does it do so?

Algebra.Com
Question 213425:
and

then:

how does it do so?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

and

then:

how does it do so?
-----------------------

 

 
Square both sides:
 

 




but since , we get

  or subtracting 3 
from both sides



divide both sides by 2:



------------

Now we turn to 


 
Square both sides:
 

 




Isolate 



Rewrite  as



but since , we get

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