document.write( "Question 844629: how do you write 9x^2+4y^2+18x-32y-71=0 in standard form ? \n" ); document.write( "

Algebra.Com's Answer #508973 by lwsshak3(11628) $\"\"$ $\"About$

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how do you write 9x^2+4y^2+18x-32y-71=0 in standard form ?
\n" ); document.write( "9x^2+18x+4y^2-32y-71=0
\n" ); document.write( "complete the square:
\n" ); document.write( "9(x^2+2x+1)+4(y^2-8y+16)=71+9+64
\n" ); document.write( "9(x+1)^2+4(y-4)^2=144
\n" ); document.write( " $\"%28x%2B1%29%5E2%2F16%2B%28y-4%29%5E2%2F36=1\"$
\n" ); document.write( "This is an equation of an ellipse with vertical major axis and center at (-1,4)
\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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