document.write( "Question 687908: Convert 25x^2+100y^2-450x+1800y+7625=0 into standard ellipse equation form \n" ); document.write( "

Algebra.Com's Answer #425517 by lwsshak3(11628) $\"\"$ $\"About$

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Convert 25x^2+100y^2-450x+1800y+7625=0 into standard ellipse equation form
\n" ); document.write( "standard ellipse equation 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( "simplify: divide by 25
\n" ); document.write( "x^2+4y^2-18x+72y+305=0
\n" ); document.write( "complete the square:
\n" ); document.write( "x^2-18x+4y^2+72y+305=0
\n" ); document.write( "(x^2-18x+81)+4(y^2+18y+81)=-305+81+324
\n" ); document.write( "(x-9)^2+4(y+9)^2=100
\n" ); document.write( " $\"%28x-9%29%5E2%2F100%2B%28y%2B9%29%5E2%2F25=1\"$
\n" ); document.write( "This is an ellipse with horizontal major axis and center at (9,-9) \n" ); document.write( "

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