document.write( "Question 971559: Reduce the following equation into quadratic equation
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document.write( "t+2/t-2 - t-2/t+2=3/7 \n" );
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Algebra.Com's Answer #593989 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! t+2/t-2 - t-2/t+2=3/7\r \n" ); document.write( "\n" ); document.write( "Multiply everything by (t-1)(t+2)7 to clear the fractions\r \n" ); document.write( "\n" ); document.write( "7(t+2)(t+2) -7 (t-2)(t-2) =3 (t-2) (t+2) ;; (t+2)^2= t^2 + 4t + 4 ;; (t-2)^2= t^2-4t +4\r \n" ); document.write( "\n" ); document.write( "7t^2+28t+28 - 7t^2+28t -28 =3t^2 -12 ;; (t-2)(t+2)=t^2-4\r \n" ); document.write( "\n" ); document.write( "Left side has 56t; everything else cancels. \n" ); document.write( "Equation is 56t= 3t^2-12\r \n" ); document.write( "\n" ); document.write( "3t^2-56t-12=0 \n" ); document.write( "That is the quadratic equation\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |