Y=1/4x^2-2x

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Solution for Y=1/4x^2-2x equation: 


x in (-oo:+oo)

Y = (1/4)*x^2-(2*x) // - (1/4)*x^2-(2*x)

Y-((1/4)*x^2)+2*x = 0

Y+(-1/4)*x^2+2*x = 0

Y-1/4*x^2+2*x = 0

DELTA = 2^2-(-1/4*4*Y)

DELTA = Y+4

Y+4 = 0

Y+4 = 0 // - 4

Y = -4

DELTA = 0  <=>  t_1 = -4

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

x = 4 i Y = -4

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

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

Y+4 > 0

Y+4 > 0 // - 4

Y > -4

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

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