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.
\n" ); document.write( "The equation is 2x^2 - 3x - 5 = 0\r
\n" ); document.write( "\n" ); document.write( "This class is killing me. Please help\r
\n" ); document.write( "\n" ); document.write( "Ellen
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Algebra.Com's Answer #109089 by mangopeeler07(462)\"\" \"About 
You can put this solution on YOUR website!
Dear Ellen,\r
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\n" ); document.write( "\n" ); document.write( "Traditional method:
\n" ); document.write( "\"2x%5E2-3x-5\"=0
\n" ); document.write( "First factor it out:\r
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\n" ); document.write( "\n" ); document.write( "Start with
\n" ); document.write( "(2x )(x )\r
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\n" ); document.write( "\n" ); document.write( "Then notice that everything after \"2x%5E2\" is negative so
\n" ); document.write( "(2x- )(x+ )\r
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\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
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "x+1=0
\n" ); document.write( "x=-1\r
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\n" ); document.write( "\n" ); document.write( "So x=5/2; -1
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\n" ); document.write( "Indian method:
\n" ); document.write( "\"2x%5E2-3x-5\"=0\r
\n" ); document.write( "\n" ); document.write( "Multiply the whole thing by 4(2) or 8:\r
\n" ); document.write( "\n" ); document.write( "\"16x%5E2-24x-40\"=0\r
\n" ); document.write( "\n" ); document.write( "Factor
\n" ); document.write( "\"%284x-10%29%284x%2B4%29=0\"\r
\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
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\n" ); document.write( "\n" ); document.write( "(4x+4)=0
\n" ); document.write( "4x=-4
\n" ); document.write( "x=-1\r
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\n" ); document.write( "\n" ); document.write( "So x=5/2; -1\r
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\n" ); document.write( "\n" ); document.write( "Sincerely,
\n" ); document.write( " Alani\r
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