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MATH / The foci of a certain ellipse are at (3,10+√(105)) and (3,10−√(105)). The endpoints of one of the axes are (−5,10) and (11,10). Find the semi-major axis.

Problem

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problem

The foci of a certain ellipse are at (3,10+105)(3,10 + \sqrt{105}) and (3,10−105).(3,10 - \sqrt{105}). The endpoints of one of the axes are (−5,10)(-5,10) and (11,10).(11,10). Find the semi-major axis.
Plain-text mathematical notation (without MathML)
The foci of a certain ellipse are at (3,10+√(105)) and (3,10−√(105)).  The endpoints of one of the axes are (−5,10) and (11,10).  Find the semi-major axis.
Original LaTeX notation
The foci of a certain ellipse are at $(3,10 + \sqrt{105})$ and $(3,10 - \sqrt{105}).$  The endpoints of one of the axes are $(-5,10)$ and $(11,10).$  Find the semi-major axis.

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
c506bc53-0109-551d-b875-4cedf8cbd72b
task_key
intermediate~5falgebra--test--c506bc53-0109-551d-b875-4cedf8cbd72b
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import