V=1/2x^2h

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Solution for V=1/2x^2h equation:


x in (-oo:+oo)

V = (1/2)*h*x^2 // - (1/2)*h*x^2

V-((1/2)*h*x^2) = 0

V+(-1/2)*h*x^2 = 0

-1/2*h*x^2 = -V // : -1/2*h

x^2 = 2*V*h^-1

x^2 = 2*V*h^-1 // ^ 1/2

abs(x) = 2^(1/2)*V^(1/2)*h^(-1/2)

x = 2^(1/2)*V^(1/2)*h^(-1/2) or x = -(2^(1/2)*V^(1/2)*h^(-1/2))

x in { 2^(1/2)*V^(1/2)*h^(-1/2), -(2^(1/2)*V^(1/2)*h^(-1/2)) }

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