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Omni-MATH / Given points a and b in the plane, let a⊕b be the unique point c such that abc is an equilateral triangle with a,b,c in the clockwise orientation. Solve (x⊕(0,0))⊕(1,1)=(1,−1) for …

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problem

Given points aa and bb in the plane, let a⊕ba \oplus b be the unique point cc such that abca b c is an equilateral triangle with a,b,ca, b, c in the clockwise orientation. Solve (x⊕(0,0))⊕(1,1)=(1,−1)(x \oplus(0,0)) \oplus(1,1)=(1,-1) for xx.
Plain-text mathematical notation (without MathML)
Given points a and b in the plane, let a⊕b be the unique point c such that abc is an equilateral triangle with a,b,c in the clockwise orientation. Solve (x⊕(0,0))⊕(1,1)=(1,−1) for x.
Original LaTeX notation
Given points $a$ and $b$ in the plane, let $a \oplus b$ be the unique point $c$ such that $a b c$ is an equilateral triangle with $a, b, c$ in the clockwise orientation. Solve $(x \oplus(0,0)) \oplus(1,1)=(1,-1)$ for $x$.

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Source and history

task_id
78b5dd84-9f50-5c31-93ca-256e39b5b043
task_key
test--78b5dd84-9f50-5c31-93ca-256e39b5b043
task_revision_id
1
config / split
/ test

Official source

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