document.write( "Question 1034016: Find the foci of the ellipse 5x2+7y2+10x-28y-2=0 \n" ); document.write( "

Algebra.Com's Answer #648612 by fractalier(6550) $\"\"$ $\"About$

You can put this solution on YOUR website!
We have to get this into standard form...so from
\n" ); document.write( " $\"5x%5E2%2B7y%5E2%2B10x-28y-2=0\"$
\n" ); document.write( "we will some factoring and completing the squares...we get
\n" ); document.write( " $\"5%28x%5E2+%2B+2x%29+%2B+7%28y%5E2+-+4y%29+=+2\"$
\n" ); document.write( " $\"5%28x%5E2+%2B+2x+%2B+1%29+%2B+7%28y%5E2+-+4y+%2B+4%29+=+2+%2B+5+%2B+28\"$
\n" ); document.write( " $\"5%28x%2B1%29%5E2+%2B+7%28y-2%29%5E2+=+35\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2+%2F+%2835%2F5%29+%2B+%28y-2%29%5E2+%2F+%2835%2F7%29+=+1\"$
\n" ); document.write( "Here a^2 = 7 and b^2 = 5...
\n" ); document.write( "You need to find
\n" ); document.write( "(c,0) and (-c,0)
\n" ); document.write( "where
\n" ); document.write( "c^2 = a^2 - b^2
\n" ); document.write( "Take it from here... \n" ); document.write( "

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