document.write( "Question 650728: If x= 1+ sqrt2 + sqrt3, then the value of 2x^4-8x^3-5x^2+26x-28 \n" ); document.write( "
Algebra.Com's Answer #407443 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "x2 = (1+Ö2+Ö3)2 = 6+2Ö2+2Ö3+2Ö6\r\n" ); document.write( "x3 = (1+Ö2+Ö3)3 = 16+14Ö2+12Ö3+6Ö6\r\n" ); document.write( "x4 = (1+Ö2+Ö3)4 = 80+48Ö2+40Ö3+32Ö6\r\n" ); document.write( "\r\n" ); document.write( " 2x4 = 2(1+Ö2+Ö3)4 = 160+ 96Ö2+80Ö3+64Ö6\r\n" ); document.write( "-8x3 = -8(1+Ö2+Ö3)3 =-128-112Ö2-96Ö3-48Ö6\r\n" ); document.write( "-5x2 = -5(1+Ö2+Ö3)2 = -30- 10Ö2-10Ö3-10Ö6\r\n" ); document.write( "+26x = 26(1+Ö2+Ö3) = 26+ 26Ö2+26Ö3\r\n" ); document.write( "-28 = -28 \r\n" ); document.write( "------------------------------------\r\n" ); document.write( " = 0+ 0Ö2+ 0Ö3+ 6Ö6\r\n" ); document.write( "\r\n" ); document.write( "Answer = 6Ö6\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |