document.write( "Question 967999: Hello,
\n" ); document.write( "Does anyone know how I would do this? I'd appreciate your help.
\n" ); document.write( "For the following equation of an ellipse determine the center, vertices, and foci:
\n" ); document.write( "9x2+4y2+54x−8y+49=0
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #591643 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
For the following equation of an ellipse determine the center, vertices, and foci:
\n" ); document.write( "9x2+4y2+54x−8y+49=0
\n" ); document.write( "9x^2+54x+4y^2-8y=-49
\n" ); document.write( "complete the square:
\n" ); document.write( "9(x^2+6x+9)+4(y^2-2y+1)=-49+81+4
\n" ); document.write( "9(x+3)^2+4(y-1)^2=36
\n" ); document.write( " $\"%28x%2B3%29%5E2%2F4%2B%28y-1%29%5E2%2F9=1\"$
\n" ); document.write( "ellipse has a vertical major axis.
\n" ); document.write( "Its standard form of equation: $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$ , a>b, (h,k)=coordinates of center
\n" ); document.write( "center:(-3, 1)
\n" ); document.write( "a^2=9
\n" ); document.write( "a=3
\n" ); document.write( "vertices= (-3, 1ąa)=(3, 1ą3)=(3, -2) and (3, 4)
\n" ); document.write( "b^2=4
\n" ); document.write( "b=2
\n" ); document.write( "c^2=a^2-b^2=9-4=5
\n" ); document.write( "c=√5≈2.2
\n" ); document.write( "foci= (-3, 1ąc)=(3, 1ą2.2)=(3, -1.2) and (3,3.2) \n" ); document.write( "

\n" );