document.write( "Question 310645: Find the ellipse 16x^2+25y^2-64x+50y-311=0, find the center, vertices, and foci, and draw a graph. \n" ); document.write( "

Algebra.Com's Answer #222138 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Complete the square in x and y.
\n" ); document.write( " $\"+16x%5E2%2B25y%5E2-64x%2B50y-311=0\"$
\n" ); document.write( " $\"+16x%5E2-64x%2B25y%5E2%2B50y-311=0\"$
\n" ); document.write( " $\"+16%28x%5E2-4x%29%2B25%28y%5E2%2B2y%29-311=0\"$
\n" ); document.write( " $\"+16%28x%5E2-4x%2B4%29%2B25%28y%5E2%2B2y%2B1%29-311=64%2B25\"$
\n" ); document.write( " $\"+16%28x-2%29%5E2%2B25%28y%2B1%29%5E2=64%2B25%2B311\"$
\n" ); document.write( " $\"+16%28x-2%29%5E2%2B25%28y%2B1%29%5E2=400\"$
\n" ); document.write( " $\"+%28x-2%29%5E2%2F25%2B25%28y%2B1%29%5E2%2F16=1\"$
\n" ); document.write( "Center : ( $\"2\"$ , $\"-1\"$ )
\n" ); document.write( "a: $\"5\"$
\n" ); document.write( "b: $\"4\"$
\n" ); document.write( "c: $\"sqrt%285%5E2-4%5E2%29=3\"$
\n" ); document.write( "

\n" ); document.write( "

\n" );