document.write( "Question 216177: how do I solve this rational expression
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document.write( "9 / x+5 + x / x-3 = 5\r
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document.write( "my answer is x = 2 and x = 7/3 \n" );
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Algebra.Com's Answer #163262 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! solve this rational expression \n" ); document.write( "9 / (x+5) + x / (x-3) = 5 \n" ); document.write( "-------------------- \n" ); document.write( "Multiply thru by (x+5)(x-3) = x^2+2x-15 to get: \n" ); document.write( "--------------------------------------- \n" ); document.write( "9(x-3) + x(x+5) = 5(x^2+2x-15) \n" ); document.write( "9x - 27 + x^2 + 5x = 5x^2 + 10x - 75 \n" ); document.write( "--------------------------------------- \n" ); document.write( "4x^2 -4x -48 = 0 \n" ); document.write( "x^2 - x - 12 = 0 \n" ); document.write( "(x-4)(x+3) = 0 \n" ); document.write( "x = 4 or x = -3 \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |