document.write( "Question 998854: Find the sum of reciprocals of the roots to the quadratic 3x^2-4x-7=0. \n" ); document.write( "

Algebra.Com's Answer #616588 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"3x%5E2-4x-7=0\"$ ..........factor completely\r
\n" ); document.write( "\n" ); document.write( " $\"3x%5E2%2B3x-7x-7=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%283x%5E2%2B3x%29-%287x%2B7%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x%28x%2B1%29-7%28x%2B1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B1%29%283x-7%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "roots:\r
\n" ); document.write( "\n" ); document.write( "if $\"%28x%2B1%29+=+0\"$ => $\"x=-1\"$
\n" ); document.write( "if $\"%283x-7%29+=+0\"$ => $\"x=7%2F3\"$ \r
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\n" ); document.write( "\n" ); document.write( "reciprocal of $\"x=-1\"$ is $\"x=1%2F-1=-1\"$ \r
\n" ); document.write( "\n" ); document.write( "reciprocal of $\"x=7%2F3\"$ is $\"x=1%2F%287%2F3%29=3%2F7\"$ \r
\n" ); document.write( "\n" ); document.write( "their sum is: $\"-1%2B3%2F7=-7%2F7%2B3%2F7=-4%2F7\"$ \r
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