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MATH / The shortest distance from the circle x²+y²=4x+8y to the point (5,−2) can be written in the form √(m), where m is an integer. Find m.

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problem

The shortest distance from the circle x2+y2=4x+8yx^2 + y^2 = 4x + 8y to the point (5,2)(5,-2) can be written in the form m\sqrt{m}, where mm is an integer. Find mm.
Plain-text mathematical notation (without MathML)
The shortest distance from the circle x²+y²=4x+8y to the point (5,−2) can be written in the form √(m), where m is an integer. Find m.
Original LaTeX notation
The shortest distance from the circle $x^2 + y^2 = 4x + 8y$ to the point $(5,-2)$ can be written in the form $\sqrt{m}$, where $m$ is an integer. Find $m$.

level

Level 5

type

Algebra

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