document.write( "Question 39018: Find all values of w satisfying the equation:\r
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document.write( "3w/w-2 = -27/w^2 - 8w + 12 \n" );
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Algebra.Com's Answer #24692 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! If we multiply the left side of \n" ); document.write( "3w/w-2 = -27/w^2 - 8w + 12 \n" ); document.write( "by (w-6)/(w-6) we can get the denominators to be equal... \n" ); document.write( "3w(w-6)/(w-2)(w-6) = -27/w^2 - 8w + 12 \n" ); document.write( "and thus \n" ); document.write( "3w(w-6) = -27 divide both sides by 3 and solve \n" ); document.write( "w(w-6) = -9 \n" ); document.write( "w^2 - 6w + 9 = 0 \n" ); document.write( "(w - 3)^2 = 0 \n" ); document.write( "w = 3 \n" ); document.write( " |