document.write( "Question 818598: Please help me this problem:
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document.write( "The equation is 1/m-8 = m/m-14. I have attempted to solve this question with factoring and a little short cut that my teacher taught my class.
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document.write( "First, I changed the denominators and numerators so they matched: 1(m-14)/(m-8)(m-14) = m(m-8)/(m-14)(m-8)
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document.write( "Then, I combined them by moving the right side to the left: m+4-m^2-8m/(m-14)(m-8)
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document.write( "I then combined the like terms and made the numerator a quadratic equation: -m^2-7m+4
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document.write( "I factored it and ended up with -3, -4 but when I substituted these numbers into the original equation, the left side didn't equal the right. I have redone this problem many times, but I always end up with those same answers. Please help. \n" );
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Algebra.Com's Answer #492658 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Please help me this problem: \n" ); document.write( "The equation is 1/m-8 = m/m-14 \n" ); document.write( "-------------- \n" ); document.write( "Cross-multiply to get: \n" ); document.write( "m-14 = m(m-8) \n" ); document.write( "------- \n" ); document.write( "m^2-8m -m + 14 = 0 \n" ); document.write( "m^2-9m+14 = 0 \n" ); document.write( "(m-2)(m-7) = 0 \n" ); document.write( "m = 2 or m = 7 \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( " |