document.write( "Question 148747: The problem is to solve the quadratic equation using the Indian method of multiplying each term in the equation by four times the coefficient of the x sqrt 2 term.
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document.write( "The equation is 2x^2 - 3x - 5 = 0\r
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document.write( "This class is killing me. Please help\r
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document.write( "Ellen
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Algebra.Com's Answer #109089 by mangopeeler07(462)![]() ![]() ![]() You can put this solution on YOUR website! Dear Ellen,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Traditional method: \n" ); document.write( " \n" ); document.write( "First factor it out:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Start with \n" ); document.write( "(2x )(x )\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then notice that everything after \n" ); document.write( "(2x- )(x+ )\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then insert two factors of 5 (the only two would be 5 and 1): \n" ); document.write( "(2x-5)(x+1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Set each set of parentheses equal to 0: \n" ); document.write( "(2x-5)=0 \n" ); document.write( "(x+1)=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for x in both: \n" ); document.write( "2x-5=0 \n" ); document.write( "2x=5 \n" ); document.write( "x=5/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+1=0 \n" ); document.write( "x=-1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So x=5/2; -1 \n" ); document.write( "-------------------------------------------------------------------------------- \n" ); document.write( "Indian method: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply the whole thing by 4(2) or 8:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Factor \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Set each expression equal to zero and solve \n" ); document.write( "(4x-10)=0 \n" ); document.write( "4x=10 \n" ); document.write( "x=10/4 \n" ); document.write( "Reduce \n" ); document.write( "x=5/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(4x+4)=0 \n" ); document.write( "4x=-4 \n" ); document.write( "x=-1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So x=5/2; -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sincerely, \n" ); document.write( " Alani\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |