find equation for ellipsis v(+-5,0)
f(+-4,0)
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Vertices (+-5,0) foci (+-4,0)
the vertices on x- axis.
therefore, the the equation of ellipse will be form the
x^{2} / a^{2} + y^{2} /b^{2} =1 , where a is a semi- major axis
a = 5 and c = 4
It is known that
a^{2} + b^{2} = c
5^{2} = b^{2} + 4^{2}
25= b^{2} + 16
b^{2} = 25 - 16
b = \sqrt{9} = 3
thus, the equation of ellipse is [ x^{2} / 5^{2} + y^{2} / 3^{2} = 1
or, x^{2} / 25 + y^{2} / 16 = 1
the vertices on x- axis.
therefore, the the equation of ellipse will be form the
x^{2} / a^{2} + y^{2} /b^{2} =1 , where a is a semi- major axis
a = 5 and c = 4
It is known that
a^{2} + b^{2} = c
5^{2} = b^{2} + 4^{2}
25= b^{2} + 16
b^{2} = 25 - 16
b = \sqrt{9} = 3
thus, the equation of ellipse is [ x^{2} / 5^{2} + y^{2} / 3^{2} = 1
or, x^{2} / 25 + y^{2} / 16 = 1
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