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MATH / The parabolas y²=3x and y²=−3x each intersect the circle x²+y²=4 at two points, giving four points of intersection total. Find the area of the quadrilateral whose vertices are thes…

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problem

The parabolas y2=3xy^2 = 3x and y2=−3xy^2 = -3x each intersect the circle x2+y2=4x^2 + y^2 = 4 at two points, giving four points of intersection total. Find the area of the quadrilateral whose vertices are these four points.
Plain-text mathematical notation (without MathML)
The parabolas y²=3x and y²=−3x each intersect the circle x²+y²=4 at two points, giving four points of intersection total.  Find the area of the quadrilateral whose vertices are these four points.
Original LaTeX notation
The parabolas $y^2 = 3x$ and $y^2 = -3x$ each intersect the circle $x^2 + y^2 = 4$ at two points, giving four points of intersection total.  Find the area of the quadrilateral whose vertices are these four points.

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
816eaca3-0432-54ef-b0c8-f1a0ed8e7a64
task_key
intermediate~5falgebra--test--816eaca3-0432-54ef-b0c8-f1a0ed8e7a64
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import