Shortest distance between parabola and point – math.stackexchange.com

Shortest distance between parabola and point – math.stackexchange.com

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Find the shortest distance between the parabola defined by $y^2 = 2x$ and a point $ E:= (1.5, 0)$. I can't use the distance formula because I'm missing a set of points $(x, y)$ to plug into. So, ...

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