document.write( "Question 280070: what is the sum of the roots of this equation. ax^2+bx+c=0 im not sure what they mean by this. \n" ); document.write( "

Algebra.Com's Answer #203504 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The roots are the values of $\"x\"$ that make
\n" ); document.write( "the equation true.
\n" ); document.write( " $\"ax%5E2+%2B+bx+%2B+c+=+0\"$
\n" ); document.write( "The quadratic formula for the roots is:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "So, the 2 roots are:
\n" ); document.write( " $\"x%5B1%5D+=+%28-b+%2B+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-b+-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x%5B1%5D+%2B+x%5B2%5D+=+-b%2F%282a%29+-+b%2F%282a%29+\"$
\n" ); document.write( " $\"x%5B1%5D+%2B+x%5B2%5D+=+-b%2Fa\"$
\n" ); document.write( "------------------
\n" ); document.write( "Another way to do it is:
\n" ); document.write( " $\"ax%5E2+%2B+bx+%2B+c+=+0\"$
\n" ); document.write( " $\"x%5E2+%2B+%28b%2Fa%29%2Ax+%2B+c%2Fa+=+0\"$
\n" ); document.write( "Call the roots $\"r%5B1%5D\"$ and $\"r%5B2%5D\"$ , then
\n" ); document.write( " $\"%28x+-+r%5B1%5D%29%2A%28x+-+r%5B2%5D%29+=+0\"$
\n" ); document.write( " $\"x%5E2+-+%28r%5B1%5D+%2B+r%5B2%5D%29%2Ax+%2B+r%5B1%5D%2Ar%5B2%5D+=+0\"$
\n" ); document.write( " $\"-%28r%5B1%5D+%2B+r%5B2%5D%29+=+b%2Fa\"$
\n" ); document.write( " $\"r%5B1%5D+%2B+r%5B2%5D+=+-b%2Fa\"$ \n" ); document.write( "

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