y=x^2/1-x

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Solution for y=x^2/1-x equation:


x in (-oo:+oo)

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

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

x-x^2+y = 0

x-x^2+y = 0

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

DELTA = 4*y+1

4*y+1 = 0

4*y+1 = 0 // - 1

4*y = -1 // : 4

y = -1/4

DELTA = 0 <=> t_1 = -1/4

x = -1/(-1*2) i y = -1/4

x = 1/2 i y = -1/4

( x = ((4*y+1)^(1/2)-1)/(-1*2) or x = (-(4*y+1)^(1/2)-1)/(-1*2) ) i y > -1/4

( x = ((4*y+1)^(1/2)-1)/(-2) or x = ((4*y+1)^(1/2)+1)/2 ) i y > -1/4

y-(-1/4) > 0

y+1/4 > 0

y+1/4 > 0 // - 1/4

y > -1/4

x in { 1/2, ((4*y+1)^(1/2)-1)/(-2), ((4*y+1)^(1/2)+1)/2 }

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