document.write( "Question 703148: Determine if the given equation describes ellipse, or hyperbola. Also write each in standard form.
\n" ); document.write( "x^2+9y^2-8x-90y+232=0 \n" ); document.write( "

Algebra.Com's Answer #433340 by lwsshak3(11628) $\"\"$ $\"About$

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Determine if the given equation describes ellipse, or hyperbola. Also write each in standard form.
\n" ); document.write( "x^2+9y^2-8x-90y+232=0
\n" ); document.write( "x^2-8x+9y^2-90y+232=0
\n" ); document.write( "x^2-8x+9y^2-90y=-232
\n" ); document.write( "complete the squares
\n" ); document.write( "(x^2-8x+16)+9(y^2-10y+25)=-232+16+225
\n" ); document.write( "(x-4)^2+9(y-5)^2=9
\n" ); document.write( " $\"%28x-4%29%5E2%2F9%2B%28y-5%29%5E2=1\"$
\n" ); document.write( "This is an equation of an ellipse with horizontal major axis and center at (4,5)
\n" ); document.write( "Its standard form: $\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center \n" ); document.write( "

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