Question 42146
{{{x^2 + 25y^2 = 100}}}
{{{x^2/100 + y^2/4 = 1}}}
This ellipse has a horizontal transverse axis, an {{{a = 10}}}, a {{{b = 2}}}, and a center at the origin, (0,0).
Foci:
{{{c^2 = a^2 - b^2}}}
{{{c^2 = 10^2 - 2^2}}}
{{{c^2 = 100 - 4}}}
{{{c^2 = 96}}}
{{{c = sqrt(96)}}} or {{{c = 4*sqrt(6)}}}
Foci: ({{{-4*sqrt(6)}}},0) and ({{{4*sqrt(6)}}},0)
{{{ graph( 600, 600, -10, 10, -10, 10, ((100 - x^2)/25)^(1/2), -((100 - x^2)/25)^(1/2)) }}}