document.write( "Question 670704: Sqrt2x-1=sqrtx-1 +1 \n" ); document.write( "
Algebra.Com's Answer #417061 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Square both sides:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x-1 = x-1 + 2sqrt(x-1) + 1\r \n" ); document.write( "\n" ); document.write( "2x -1 = x + 2sqrt(x-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x -1 = 2sqrt(x-1)\r \n" ); document.write( "\n" ); document.write( "Square both sides again:\r \n" ); document.write( "\n" ); document.write( "x^2 - 2x + 1 = 4(x-1)\r \n" ); document.write( "\n" ); document.write( "x^2 - 2x + 1 = 4x-4\r \n" ); document.write( "\n" ); document.write( "x^2 -6x +5 = 0\r \n" ); document.write( "\n" ); document.write( "(x-1)(x-5)\r \n" ); document.write( "\n" ); document.write( "x = 1,5 \n" ); document.write( " \n" ); document.write( " |