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MATH / An equilateral triangle has all three of its vertices on the parabola…

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problem

An equilateral triangle has all three of its vertices on the parabola y=x2−8x+5y=x^2-8x+5. One vertex of the triangle is on the vertex of the parabola, and the opposite side lies along the line y=ky=k. What is the value of kk?
Plain-text mathematical notation (without MathML)
An equilateral triangle has all three of its vertices on the parabola y=x²−8x+5. One vertex of the triangle is on the vertex of the parabola, and the opposite side lies along the line y=k. What is the value of k?
Original LaTeX notation
An equilateral triangle has all three of its vertices on the parabola $y=x^2-8x+5$. One vertex of the triangle is on the vertex of the parabola, and the opposite side lies along the line $y=k$. What is the value of $k$?

level

Level 5

type

Algebra

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Source and history

task_id
112e4385-bd66-5fa8-a128-8a9c2f4944a5
task_key
algebra--test--112e4385-bd66-5fa8-a128-8a9c2f4944a5
task_revision_id
1
config / split
algebra / test

Official source

initial import