document.write( "Question 884330: how do I find the major and minor axes of 9x^2+25y^2-18x=166 \n" ); document.write( "

Algebra.Com's Answer #534184 by lwsshak3(11628) $\"\"$ $\"About$

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how do I find the major and minor axes of
\n" ); document.write( "9x^2+25y^2-18x=166
\n" ); document.write( "9x^2-18x+25y^2=166
\n" ); document.write( "complete the square:
\n" ); document.write( "9(x^2-2x+1)+25y^2=166+9
\n" ); document.write( " $\"%28x-1%29%5E2%2F%28175%2F9%29%2By%5E2%2F7=1\"$
\n" ); document.write( "This is an equation of an ellipse with horizontal major axis.
\n" ); document.write( "Its standard form of equation: $\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2\"$ , a>b, (h,k)=coordinates of center, a= major axis, b=minor axis.
\n" ); document.write( "For given equation:
\n" ); document.write( "major axis=175/9
\n" ); document.write( "minor axis=7\r
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