y=-x^2/10+9x/10+11/5

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Solution for y=-x^2/10+9x/10+11/5 equation: 


x in (-oo:+oo)

y = ((-x)^2)/10+(9*x)/10+11/5 // - ((-x)^2)/10+(9*x)/10+11/5

y-(((-x)^2)/10)-((9*x)/10)-(11/5) = 0

(-1/10)*x^2+(-9/10)*x+y-11/5 = 0

y-1/10*x^2-9/10*x-11/5 = 0

DELTA = (-9/10)^2-(-1/10*4*(y-11/5))

DELTA = 2/5*(y-11/5)+81/100

2/5*(y-11/5)+81/100 = 0

(2/5*100*(y-11/5))/100+81/100 = 0

2/5*100*(y-11/5)+81 = 0

40*y-7 = 0

(40*y-7)/100 = 0

(40*y-7)/100 = 0 // * 100

40*y-7 = 0

40*y-7 = 0 // + 7

40*y = 7 // : 40

y = 7/40

DELTA = 0  <=>  t_1 = 7/40

x = 9/10/(-1/10*2) i y = 7/40

x = -9/2 i y = 7/40

( x = ((2/5*(y-11/5)+81/100)^(1/2)+9/10)/(-1/10*2) or x = (9/10-(2/5*(y-11/5)+81/100)^(1/2))/(-1/10*2) ) i y > 7/40

( x = -5*((2/5*(y-11/5)+81/100)^(1/2)+9/10) or x = -5*(9/10-(2/5*(y-11/5)+81/100)^(1/2)) ) i y > 7/40

y-(7/40) > 0

y-7/40 > 0

y-7/40 > 0 // + 7/40

y > 7/40

x in { -9/2, -5*((2/5*(y-11/5)+81/100)^(1/2)+9/10), -5*(9/10-(2/5*(y-11/5)+81/100)^(1/2)) }

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