y=1/7000(x-1400)^2+27

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Solution for y=1/7000(x-1400)^2+27 equation: 


x in (-oo:+oo)

y = (1/7000)*(x-1400)^2+27 // - (1/7000)*(x-1400)^2+27

y-((1/7000)*(x-1400)^2)-27 = 0

(-1/7000)*(x-1400)^2+y-27 = 0

y-1/7000*(x-1400)^2-27 = 0

y-1/7000*(x-1400)^2-27 = 0

2/5*x-1/7000*x^2+y-280-27 = 0

2/5*x-1/7000*x^2+y-307 = 0

2/5*x-1/7000*x^2+y-307 = 0

2/5*x-1/7000*x^2+y-307 = 0

DELTA = (2/5)^2-(-1/7000*4*(y-307))

DELTA = 1/1750*(y-307)+4/25

1/1750*(y-307)+4/25 = 0

(1/1750*25*(y-307))/25+4/25 = 0

1/1750*25*(y-307)+4 = 0

1/70*y-27/70 = 0

(1/70*y-27/70)/25 = 0

(1/70*y-27/70)/25 = 0 // * 25

1/70*y-27/70 = 0

1/70*y-27/70 = 0 // + 27/70

1/70*y = 27/70 // : 1/70

y = 27/70/1/70

y = 27

DELTA = 0  <=>  t_3 = 27

x = -2/5/(-1/7000*2) i y = 27

x = 1400 i y = 27

( x = ((1/1750*(y-307)+4/25)^(1/2)-2/5)/(-1/7000*2) or x = (-(1/1750*(y-307)+4/25)^(1/2)-2/5)/(-1/7000*2) ) i y > 27

( x = -3500*((1/1750*(y-307)+4/25)^(1/2)-2/5) or x = 3500*((1/1750*(y-307)+4/25)^(1/2)+2/5) ) i y > 27

y-27 > 0

y-27 > 0 // + 27

y > 27

x in { 1400, -3500*((1/1750*(y-307)+4/25)^(1/2)-2/5), 3500*((1/1750*(y-307)+4/25)^(1/2)+2/5) }

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