document.write( "Question 1187462: foci (-2, 3) and (4, 3) b=4
\n" ); document.write( "Please help me solve this. Find the general and standard form then graph it. If it is not that much of a hassle, i would also appreciate it so much if it has a solution. This is all about ellipse. This is the equation that i ended up with \"%28x-1%29%5E2%2F25%2B%28y-3%29%5E2%2F16=1\"
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Algebra.Com's Answer #818440 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "foci (-2, 3) and (4, 3) b=4
\n" ); document.write( "Please help me solve this. Find the general and standard form then graph it.
\n" ); document.write( "If it is not that much of a hassle, i would also appreciate it so much if it has a solution.
\n" ); document.write( "This is all about ellipse. This is the equation that i ended up with \"%28x-1%29%5E2%2F25%2B%28y-3%29%5E2%2F16=1\"
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\n" ); document.write( "\n" ); document.write( "The method of analysis is close to what I showed you for similar problem under this link\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Quadratic-relations-and-conic-sections.faq.question.1187463.html\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Quadratic-relations-and-conic-sections.faq.question.1187463.html\r
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document.write( "The foci lie on the horizontal line y= 3 --- hence, the major axis of the ellipse is HORIZONTAL.\r\n" );
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document.write( "The center of the ellipse is the point  (1,3) ---  it explains the numbers in the equation of the ellipse.\r\n" );
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document.write( "Further, the distance between the foci is  4 - (-2) = 6 units;  hence, the eccentricity of the ellipse is  c = \"6%2F2\" = 3 units.\r\n" );
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document.write( "Now you know \"c\" and \"b\" of the ellipse:  c = 3, b = 4 (given).  (As a reminder: b is the minor semi-axis).\r\n" );
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document.write( "You are in position to find the major semi-axis  a = \"sqrt%28b%5E2+%2B+c%5E2%29\" = \"sqrt%284%5E2%2B3%5E2%29\" = \"sqrt%2825%29\" = 5.\r\n" );
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document.write( "After that, the equation of the ellipse is\r\n" );
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document.write( "    \"%28x-1%29%5E2%2F25\" + \"%28y-3%29%5E2%2F16\" = \"1\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, and everything is explained.\r
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\n" ); document.write( "\n" ); document.write( "For basic info about ellipses,  see my lesson\r
\n" ); document.write( "\n" ); document.write( "    - Ellipse definition, canonical equation, characteristic points and elements \r
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