What is the foci (x-102.05)(498.625-x)/(0.1249) ?

The foci (x-102.05)(498.625-x)/(0.1249) is (300.3375,314795.26626…)

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foci (x-102.05)(498.625-x)/(0.1249)

foci

(x - 102.05) \frac{498.625 - x}{0.1249}

(300.3375, 314795.26626 \dots)

Solution steps

Rewrite

y = (x - 102.05) \frac{498.625 - x}{0.1249}

in the standard form

4 (- 0.031225) (y - 314795.29748 \dots) = (x - 300.3375)^{2}

(h, k) = (300.3375, 314795.29748 \dots), p = - 0.031225

Parabola is symmetric around the y-axis and so the focus lies a distance

p

from the center

(300.3375, 314795.29748 \dots)

along the y-axis

(300.3375, 314795.29748 \dots + p)

= (300.3375, 314795.29748 \dots + (- 0.031225))

Refine

(300.3375, 314795.26626 \dots)

x^{2} + 9 x + 18

x = 6 y^{2}

2250 (0.015 - 0.001 x)^{2} + 6000 x

x^{2} \cdot 3

x = y^{2} - 4 y + 1

What is the foci (x-102.05)(498.625-x)/(0.1249) ?
The foci (x-102.05)(498.625-x)/(0.1249) is (300.3375,314795.26626…)