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\(a-b=5\)

\(ab=2\)

\(a^2+b^2=? \)

\(a^4+b^4=?\)

 Jul 25, 2016
 #1
avatar+118609 
0

Hi Daniel, :)

 

\(a-b=5\\ (a-b)^2=25\\ a^2-2ab+b^2=25\qquad but\;\;ab=2\\ a^2 -2*2+b^2=25\\ a^2 -4+b^2=25\\ a^2 +b^2=29\\~\\ (a^2 +b^2)^2=29^2\\ a^4+2*a^2b^2 +b^4=841\\ a^4+b^4+2ab*ab =841\\ a^4+b^4+2*2*2 =841\\ a^4+b^4+8 =841\\ a^4+b^4=833\\\)

 Jul 25, 2016
 #2
avatar+118609 
0

Do you understand it all Daniel?

 Jul 25, 2016
 #3
avatar+41 
+5

Yes, thanks

danielr_ddrp  Jul 25, 2016

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