document.write( "Question 893725: An ellipse with horizontal major axis, center at (4,3), its major axis is twice as long as its minor axis, passes through P(2,1). Find its equation. \n" ); document.write( "

Algebra.Com's Answer #541455 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is not a complete solution:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29%5E2%2Fa%5E2%2B%28y-3%29%5E2%2Fb%5E2=1\"$ , and $\"a%2Fb=2\"$ ; and your given point on the ellipse (2,1) gives $\"%282-4%29%5E2%2Fa%5E2%2B%281-3%29%5E2%2Fb%5E2=1\"$ ; you should be able to solve for a and b.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve this system:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"highlight_green%28system%28a%2Fb=2%2C4%2Fa%5E2%2B4%2Fb%5E2=1%29%29\"$ \n" ); document.write( "

\n" );