document.write( "Question 1056658: solve.\r
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document.write( "sqrt(11x − 17)-sqrt(9x-18)=1 \n" );
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Algebra.Com's Answer #671887 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Same problem, different numbers. \n" ); document.write( "Check that the values inside the radicals are positive. \n" ); document.write( "========================= \n" ); document.write( "sqrt(2x+7)-sqrt(3x-2)=2 \n" ); document.write( "------------ \n" ); document.write( "sqrt(2x+7) = sqrt(3x-2) + 2 \n" ); document.write( "Square both sides. \n" ); document.write( "2x+7 = 3x-2 + 4 + 4sqrt(3x-2) \n" ); document.write( "-x+5 = 4sqrt(3x-2) \n" ); document.write( "Square again \n" ); document.write( "x^2-10x+25 = 16(3x-2) = 48x-32 \n" ); document.write( "x^2 - 58x + 57 = 0 \n" ); document.write( "(x - 1)*(x - 57) = 0 \n" ); document.write( "x = 1 \n" ); document.write( "x = 57 \n" ); document.write( " |