document.write( "Question 874612: x^2+4y^2-6x+16y+21=0 ellipse i need help to put it in standard form
\n" ); document.write( "9x^2-y^2-72x+8y+119=0 hyperbola standard form
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Algebra.Com's Answer #527824 by lwsshak3(11628)\"\" \"About 
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x^2+4y^2-6x+16y+21=0 ellipse i need help to put it in standard form
\n" ); document.write( "9x^2-y^2-72x+8y+119=0 hyperbola standard form
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\n" ); document.write( "x^2+4y^2-6x+16y+21=0
\n" ); document.write( "x^2-6x+4y^2+16y=-21
\n" ); document.write( "complete the square:
\n" ); document.write( "(x^2-6x+9)+4(y^2+4y+4)=-21+9+16
\n" ); document.write( "(x-3)^2+4(y+2)^2=4
\n" ); document.write( "divide by 4
\n" ); document.write( "(x-3)^2/4+(y+2)^2=1
\n" ); document.write( "This is an equation of an ellipse with horizontal major axis and center at (3,-2)
\n" ); document.write( "Its standard form of equation: \"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\", a>b, (h,k)=coordinates of center
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\n" ); document.write( "9x^2-y^2-72x+8y+119=0
\n" ); document.write( "9x^2-72x-y^2+8y=-119
\n" ); document.write( "complete the square:
\n" ); document.write( "9(x^2-8x+16)-(y^2-8y+16)=-119+144-16
\n" ); document.write( "9(x-4)^2-(y-4)^2=9
\n" ); document.write( "divide by 9
\n" ); document.write( "(x-4)^2-(y-4)^2/9=1
\n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis and center at (4,4)
\n" ); document.write( "Its standard form of equation: \"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\", (h,k)=coordinates of center\r
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