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Omni-MATH / Suppose that k>0 and that the line with equation y=3kx+4k² intersects the parabola with equation y=x² at points P and Q. If O is the origin and the area of riangleOPQ is 80, then w…

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problem

Suppose that k>0k>0 and that the line with equation y=3kx+4k2y=3kx+4k^{2} intersects the parabola with equation y=x2y=x^{2} at points PP and QQ. If OO is the origin and the area of riangleOPQ riangle OPQ is 80, then what is the slope of the line?
Plain-text mathematical notation (without MathML)
Suppose that k>0 and that the line with equation y=3kx+4k² intersects the parabola with equation y=x² at points P and Q. If O is the origin and the area of riangleOPQ is 80, then what is the slope of the line?
Original LaTeX notation
Suppose that $k>0$ and that the line with equation $y=3kx+4k^{2}$ intersects the parabola with equation $y=x^{2}$ at points $P$ and $Q$. If $O$ is the origin and the area of $	riangle OPQ$ is 80, then what is the slope of the line?

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task_id
ed39ccff-6d4f-5f24-8cf8-342fa30cda8c
task_key
test--ed39ccff-6d4f-5f24-8cf8-342fa30cda8c
task_revision_id
1
config / split
/ test

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