document.write( "Question 424991: Which Which two consecutive whole numbers have cubes that differ 2107?
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Algebra.Com's Answer #296091 by mananth(16946)![]() ![]() You can put this solution on YOUR website! (x+1)^3-x^3= 2107\r \n" ); document.write( "\n" ); document.write( "((x+1)-x)((x+1)^2+(x(x+1)+x^2)=2107 \n" ); document.write( "1*x^2+2x+1+x^2+x+x^2=2107 \n" ); document.write( "3x^2+3x=2106 \n" ); document.write( "x^2+x=702 \n" ); document.write( "x^2+x-702=0 \n" ); document.write( "x^2+27x-26x-702 \n" ); document.write( "x(x+27)-26(x+27)=0 \n" ); document.write( "(x-26)(x+27)=0 \n" ); document.write( "....... \n" ); document.write( "26 & 27 \n" ); document.write( "OR \n" ); document.write( "-27 & -26 \n" ); document.write( " |