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

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

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

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

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

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

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

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

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

169-40*y = 0

(169-40*y)/100 = 0

(169-40*y)/100 = 0 // * 100

169-40*y = 0

169-40*y = 0 // - 169

-40*y = -169 // : -40

y = -169/(-40)

y = 169/40

DELTA = 0  <=>  t_1 = 169/40

x = 9/10/(1/10*2) i y = 169/40

x = 9/2 i y = 169/40

( x = ((81/100-2/5*(y-11/5))^(1/2)+9/10)/(1/10*2) or x = (9/10-(81/100-2/5*(y-11/5))^(1/2))/(1/10*2) ) i y > 169/40

( x = 5*((81/100-2/5*(y-11/5))^(1/2)+9/10) or x = 5*(9/10-(81/100-2/5*(y-11/5))^(1/2)) ) i y > 169/40

y-169/40 > 0

y-169/40 > 0 // + 169/40

y > 169/40

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

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