y=x-(1/48)*x^2

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Solution for y=x-(1/48)*x^2 equation:


x in (-oo:+oo)

y = x-((1/48)*x^2) // - x-((1/48)*x^2)

(1/48)*x^2-x+y = 0

1/48*x^2-x+y = 0

DELTA = (-1)^2-(1/48*4*y)

DELTA = 1-1/12*y

1-1/12*y = 0

1-1/12*y = 0 // - 1

-1/12*y = -1 // : -1/12

y = -1/(-1/12)

y = 12

DELTA = 0 <=> t_1 = 12

x = 1/(1/48*2) i y = 12

x = 24 i y = 12

( x = ((1-1/12*y)^(1/2)+1)/(1/48*2) or x = (1-(1-1/12*y)^(1/2))/(1/48*2) ) i y > 12

( x = 24*((1-1/12*y)^(1/2)+1) or x = 24*(1-(1-1/12*y)^(1/2)) ) i y > 12

y-12 > 0

y-12 > 0 // + 12

y > 12

x in { 24, 24*((1-1/12*y)^(1/2)+1), 24*(1-(1-1/12*y)^(1/2)) }

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