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Omni-MATH / The curves x²+y²=36 and y=x²−7 intersect at four points. Find the sum of the squares of the x-coordinates of these points.

Problem

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problem

The curves x2+y2=36x^{2}+y^{2}=36 and y=x2−7y=x^{2}-7 intersect at four points. Find the sum of the squares of the xx-coordinates of these points.
Plain-text mathematical notation (without MathML)
The curves x²+y²=36 and y=x²−7 intersect at four points. Find the sum of the squares of the x-coordinates of these points.
Original LaTeX notation
The curves $x^{2}+y^{2}=36$ and $y=x^{2}-7$ intersect at four points. Find the sum of the squares of the $x$-coordinates of these points.

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Source and history

task_id
92fba2a3-5c50-5f56-a3a7-da2ae94e237f
task_key
test--92fba2a3-5c50-5f56-a3a7-da2ae94e237f
task_revision_id
1
config / split
/ test

Official source

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