# Math

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Write the standard equation of the ellipse with the given characteristics

Center:(0,0)
foci: (2,0) (-2,0)
vertices:(5,0) (-5,0)

• Math -

looks like the vertices and the foci are on the x-axis, so this is easy

a = 5, b = ? and c = 2
In this type of ellipse,
b^2 + c^2 = a^2
b^2 + 4 = 25
b^2 = 21

x^2 /25 + y^2/21 = 1

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