document.write( "Question 29622: Solve and check each of the following equations.\r
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document.write( "5/x+6 + 2/x^2+7x+6=3/x+1\r
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document.write( "Please help.\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #16511 by sdmmadam@yahoo.com(530)![]() ![]() ![]() You can put this solution on YOUR website! If the problem is \n" ); document.write( "5/(x+6) + 2/(x^2+7x+6)=3/(x+1)----(1)then \n" ); document.write( "5/(x+6) + 2/(x+6)(x+1)= 3/(x+1) (factorising the quadratic expression) \n" ); document.write( "Multiplying by (x+6)(x+1) \n" ); document.write( "5(x+1)+2=3(x+6)----(2) \n" ); document.write( "5x+5+2 = 3x+18 \n" ); document.write( "5x+7 = 3x+18 \n" ); document.write( "5x-3x= 18-7 \n" ); document.write( "2x= 11 \n" ); document.write( "x = 11/2 \n" ); document.write( "Verification:putting x = 11/2 in (2) LHS = 69/2=RHS\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |