y=-1/60x^2+x+66/10

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Solution for y=-1/60x^2+x+66/10 equation:


x in (-oo:+oo)

y = (-1/60)*x^2+x+66/10 // - (-1/60)*x^2+x+66/10

y-((-1/60)*x^2)-x-(66/10) = 0

(1/60)*x^2-x+y-33/5 = 0

1/60*x^2-x+y-33/5 = 0

DELTA = (-1)^2-(1/60*4*(y-33/5))

DELTA = 1-1/15*(y-33/5)

1-1/15*(y-33/5) = 0

1-1/15*(y-33/5) = 0

36/25-1/15*y = 0

36/25-1/15*y = 0

36/25-1/15*y = 0 // - 36/25

-1/15*y = -36/25 // : -1/15

y = -36/25/(-1/15)

y = 108/5

DELTA = 0 <=> t_1 = 108/5

x = 1/(1/60*2) i y = 108/5

x = 30 i y = 108/5

( x = ((1-1/15*(y-33/5))^(1/2)+1)/(1/60*2) or x = (1-(1-1/15*(y-33/5))^(1/2))/(1/60*2) ) i y > 108/5

( x = 30*((1-1/15*(y-33/5))^(1/2)+1) or x = 30*(1-(1-1/15*(y-33/5))^(1/2)) ) i y > 108/5

y-108/5 > 0

y-108/5 > 0 // + 108/5

y > 108/5

x in { 30, 30*((1-1/15*(y-33/5))^(1/2)+1), 30*(1-(1-1/15*(y-33/5))^(1/2)) }

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