document.write( "Question 230820: How do I solve for r where:\r
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document.write( "(1/(1+r))*(30/r)-100 = 0\r
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document.write( "I'm getting stuck on the steps in te middle...\"the work\"... \n" );
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Algebra.Com's Answer #170948 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! How do I solve for r where: \n" ); document.write( "(1/(1+r))*(30/r)-100 = 0 \n" ); document.write( "----------------- \n" ); document.write( "Multiply thru by r(1+r) to get: \n" ); document.write( "(30)-100r(r+1) = 0 \n" ); document.write( "--- \n" ); document.write( "-100r^2-100r+30 = 0 \n" ); document.write( "Divide thru by -10 to get: \n" ); document.write( "10r^2 + 10r - 3 = 0 \n" ); document.write( "--- \n" ); document.write( "Use the quadratic formula: \n" ); document.write( "r = [-10 +- sqrt(100 - 4*10*-3)]/20 \n" ); document.write( "--- \n" ); document.write( "r = [-10 +- sqrt(220)]/20 \n" ); document.write( "--- \n" ); document.write( "r = [-10 +- 2sqrt(55)]/20 \n" ); document.write( "x = [-1/2 + (1/10)sqrt(55)] or x = [-1/2 + (1/10)sqrt(55)] \n" ); document.write( "======================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |