Y=1/2x2-4

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Solution for Y=1/2x2-4 equation: 


x in (-oo:+oo)

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

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

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

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

x^2 = 2*(Y+4)

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

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

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

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

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