document.write( "Question 711592: Please put in standard form. (ellipse)
\n" ); document.write( "18x^2+9y^2=153-24x+6y \n" ); document.write( "

Algebra.Com's Answer #437460 by lwsshak3(11628) $\"\"$ $\"About$

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Please put in standard form. (ellipse)
\n" ); document.write( "18x^2+9y^2=153-24x+6y
\n" ); document.write( "rearrange terms:
\n" ); document.write( "18x^2+24x+9y^2-6y=153
\n" ); document.write( "complete the square:
\n" ); document.write( "18(x^2+24x/18+9(y^2-6y/9=153
\n" ); document.write( "18(x^2+4x/3+9(y^2-2y/3=153
\n" ); document.write( "18(x^2+4x/3+16/36)+9(y^2-2y/3+4/36)=153+8+1
\n" ); document.write( "18(x+4/9)^2+9(y-1/9)^2=162
\n" ); document.write( " $\"%28x%2B4%2F9%29%5E2%2F9%2B%28y-1%2F9%29%5E2%2F18=1\"$
\n" ); document.write( "This is an equation of an ellipse with vertical major axis and center at (-4/9,1/9)
\n" ); document.write( "Its standard form: $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center \n" ); document.write( "

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