document.write( "Question 31430: If (r+ (1/r))^2=5, then find the value of r^3 + 1/r^3. \n" ); document.write( "
Algebra.Com's Answer #18255 by venugopalramana(3286)\"\" \"About 
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(R+1/R)^2=5
\n" ); document.write( "(R+1/R)=5^0.5...CUBE BOTH SIDES
\n" ); document.write( "(R+1/R)^3=(5^0.5)^3
\n" ); document.write( "R^3+1/R^3 +3*R*(1/R)*(R+1/R)=5*SQRT5
\n" ); document.write( "R^3+1/R^3=5*SQRT(5)-3*SQRT(5)=2*SQRT(5)
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