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1 Answer
- 1 year agoFavorite Answer
x = y^2 - 4
y = y
d^2 = (y - (-2))^2 + (x - 4)^2
d^2 = (y + 2)^2 + (y^2 - 4 - 4)^2
d^2 = y^2 + 4y + 4 + (y^2 - 8)^2
d^2 = y^2 + 4y + 4 + y^4 - 16y^2 + 64
d^2 = y^4 - 15y^2 + 4y + 68
Now use a derivative
2d * dd/dy = 4y^3 - 30y + 4
dd/dy = 0
2d * 0 = 4y^3 - 30y + 4
0 = 4y^3 - 30y + 4
0 = 2y^3 - 15y + 2
https://www.wolframalpha.com/input/?i=0+%3D+2y%5E3...
y = -2.803 , 0.13365 , 2.6693
d^2 = y^4 - 15y^2 + 4y + 68
y = -2.803 , d = 0.8156670046538599565396096108566
y = 0.13365 , d = 8.2623836890491289993182248560078
y = 2.6693 , d = 4.750547669364343943063299623439
x = 3.12516249 , y = 2.6693 , d = 4.75055
(3.13 , 2.67) with a distance of 4.75
