y=-(x^2/40)+31x/40+4/5

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Solution for y=-(x^2/40)+31x/40+4/5 equation: 


x in (-oo:+oo)

y = (31*x)/40-((x^2)/40)+4/5 // - (31*x)/40-((x^2)/40)+4/5

(x^2)/40-((31*x)/40)+y-(4/5) = 0

(x^2)/40+(-31/40)*x+y-4/5 = 0

1/40*x^2-31/40*x+y-4/5 = 0

DELTA = (-31/40)^2-(1/40*4*(y-4/5))

DELTA = 961/1600-1/10*(y-4/5)

961/1600-1/10*(y-4/5) = 0

(-1/10*1600*(y-4/5))/1600+961/1600 = 0

961-1/10*1600*(y-4/5) = 0

1089-160*y = 0

(1089-160*y)/1600 = 0

(1089-160*y)/1600 = 0 // * 1600

1089-160*y = 0

1089-160*y = 0 // - 1089

-160*y = -1089 // : -160

y = -1089/(-160)

y = 1089/160

DELTA = 0  <=>  t_1 = 1089/160

x = 31/40/(1/40*2) i y = 1089/160

x = 31/2 i y = 1089/160

( x = ((961/1600-1/10*(y-4/5))^(1/2)+31/40)/(1/40*2) or x = (31/40-(961/1600-1/10*(y-4/5))^(1/2))/(1/40*2) ) i y > 1089/160

( x = 20*((961/1600-1/10*(y-4/5))^(1/2)+31/40) or x = 20*(31/40-(961/1600-1/10*(y-4/5))^(1/2)) ) i y > 1089/160

y-1089/160 > 0

y-1089/160 > 0 // + 1089/160

y > 1089/160

x in { 31/2, 20*((961/1600-1/10*(y-4/5))^(1/2)+31/40), 20*(31/40-(961/1600-1/10*(y-4/5))^(1/2)) }

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