document.write( "Question 309355: Write the quadratic equation given the sum of the roots equal 2 and the product of the roots equal 3/4 \n" ); document.write( "

Algebra.Com's Answer #221271 by Fombitz(32388) $\"\"$ $\"About$

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For a quadratic equation, $\"y=ax%5E2%2Bbx%2Bc\"$ ,
\n" ); document.write( "the product of the roots equals $\"c%2Fa\"$
\n" ); document.write( "the sum of the roots equals $\"-b%2Fa\"$
\n" ); document.write( " $\"-b%2Fa=2\"$
\n" ); document.write( " $\"b=-2a\"$
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\n" ); document.write( " $\"c%2Fa=3%2F4\"$
\n" ); document.write( " $\"c=%283%2F4%29a\"$
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\n" ); document.write( " $\"y=ax%5E2-2ax%2B%283%2F4%29a\"$
\n" ); document.write( "where $\"a\"$ can take on any non-zero value. \n" ); document.write( "

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