document.write( "Question 818004: The foci of a ellipse are F1(2,0) and F2(-2,0) and the sum of the focal radii is 6 units. Find the equation.\r
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document.write( "Thanks so much in advance:) \n" );
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Algebra.Com's Answer #492365 by TimothyLamb(4379) You can put this solution on YOUR website! eccentricity: \n" ); document.write( "f^2 = a^2 − b^2 \n" ); document.write( "f = 2 \n" ); document.write( "--- \n" ); document.write( "sum of focal radii is 6: \n" ); document.write( "2a = 6 \n" ); document.write( "a = 3 \n" ); document.write( "--- \n" ); document.write( "f^2 = a^2 − b^2 \n" ); document.write( "2^2 = 3^2 − b^2 \n" ); document.write( "4 = 9 − b^2 \n" ); document.write( "b^2 = 5 \n" ); document.write( "b = sqrt( 5 ) \n" ); document.write( "b = 2.236068 \n" ); document.write( "--- \n" ); document.write( "ellipse eqn: \n" ); document.write( "(x/a)^2 + (y/a)^2 = 1 \n" ); document.write( "(x/3)^2 + (y/sqrt( 5 ))^2 = 1 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "(1/9)x^2 + (1/5)y^2 = 1 \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |