y=(-(3/4000)x^2)+(3x/10)+3

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Solution for y=(-(3/4000)x^2)+(3x/10)+3 equation: 


x in (-oo:+oo)

y = (3*x)/10-((3/4000)*x^2)+3 // - (3*x)/10-((3/4000)*x^2)+3

(3/4000)*x^2-((3*x)/10)+y-3 = 0

(3/4000)*x^2+(-3/10)*x+y-3 = 0

3/4000*x^2-3/10*x+y-3 = 0

DELTA = (-3/10)^2-(3/4000*4*(y-3))

DELTA = 9/100-3/1000*(y-3)

9/100-3/1000*(y-3) = 0

(-3/1000*100*(y-3))/100+9/100 = 0

9-3/1000*100*(y-3) = 0

99/10-3/10*y = 0

(99/10-3/10*y)/100 = 0

(99/10-3/10*y)/100 = 0 // * 100

99/10-3/10*y = 0

99/10-3/10*y = 0 // - 99/10

-3/10*y = -99/10 // : -3/10

y = -99/10/(-3/10)

y = 33

DELTA = 0  <=>  t_1 = 33

x = 3/10/(3/4000*2) i y = 33

x = 200 i y = 33

( x = ((9/100-3/1000*(y-3))^(1/2)+3/10)/(3/4000*2) or x = (3/10-(9/100-3/1000*(y-3))^(1/2))/(3/4000*2) ) i y > 33

( x = 2000/3*((9/100-3/1000*(y-3))^(1/2)+3/10) or x = 2000/3*(3/10-(9/100-3/1000*(y-3))^(1/2)) ) i y > 33

y-33 > 0

y-33 > 0 // + 33

y > 33

x in { 200, 2000/3*((9/100-3/1000*(y-3))^(1/2)+3/10), 2000/3*(3/10-(9/100-3/1000*(y-3))^(1/2)) }

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