document.write( "Question 109933: Please explain how to solve the quadratic equation:\r
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document.write( "3x^2 + 5x = -2 \n" );
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Algebra.Com's Answer #80103 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Please explain how to solve the quadratic equation:\r \n" ); document.write( "\n" ); document.write( "3x^2 + 5x = -2 \n" ); document.write( "----------------- \n" ); document.write( "3x^2 + 5x +2 =0 \n" ); document.write( "One solution method is called the AC Method. \n" ); document.write( "--------- \n" ); document.write( "Think of two numbers whose product is A*C = 6 \n" ); document.write( "and whose sum = B = 5 \n" ); document.write( "The numbers are 2 and 3 \n" ); document.write( "Replace 5x by 2x + 3x to get: \n" ); document.write( "3x^2+2x+3x+2 = 0 \n" ); document.write( "Factor the 1st two and the last two terms separately to get: \n" ); document.write( "x(3x+2)+(3x+2)=0 \n" ); document.write( "Factor again: \n" ); document.write( "(3x+2)(x+1)=0 \n" ); document.write( "Either 3x+2=0 or x+1=0 \n" ); document.write( "Either x = -2/3 or x=-1 \n" ); document.write( "=================== \n" ); document.write( "Other ways to solve the quadratic are: \n" ); document.write( "graphing \n" ); document.write( "or the quadratic formula \n" ); document.write( "or factoring other than AC Method. \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |