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MATH / Points A and B are on parabola y=3x²−5x−3, and the origin is the midpoint of (AB)¯. Find the square of the length of (AB)¯.

Problem

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problem

Points AA and BB are on parabola y=3x2−5x−3y=3x^2-5x-3, and the origin is the midpoint of AB¯\overline{AB}. Find the square of the length of AB¯\overline{AB}.
Plain-text mathematical notation (without MathML)
Points A and B are on parabola y=3x²−5x−3, and the origin is the midpoint of (AB)¯. Find the square of the length of (AB)¯.
Original LaTeX notation
Points $A$ and $B$ are on parabola $y=3x^2-5x-3$, and the origin is the midpoint of $\overline{AB}$. Find the square of the length of $\overline{AB}$.

level

Level 5

type

Algebra

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Source and history

task_id
2cb4a7f3-b3a9-515d-8498-556ed2d1fc91
task_key
algebra--test--2cb4a7f3-b3a9-515d-8498-556ed2d1fc91
task_revision_id
1
config / split
algebra / test

Official source

initial import