Question

Consider the parabola given by the equation y = x2 − 5 4 . Let (a,b)...

Consider the parabola given by the equation

y = x2

5
4

. Let

(a,b)

be the point lying on this parabola, with

a ≥ 0

, which is closest to the origin.
What is

a2 / b2

?   
(The solution, as usual, is a whole number.)

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