(4/z)-(1/4z)=(-3/8)

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Solution for (4/z)-(1/4z)=(-3/8) equation: 


D( z )

z = 0

z = 0

z = 0

z in (-oo:0) U (0:+oo)

4/z-((1/4)*z) = -3/8 // + -3/8

4/z-((1/4)*z)-(-3/8) = 0

(-1/4)*z+4/z+3/8 = 0

4*z^-1-1/4*z^1+3/8*z^0 = 0

(3/8*z^1-1/4*z^2+4*z^0)/(z^1) = 0 // * z^2

z^1*(3/8*z^1-1/4*z^2+4*z^0) = 0

z^1

(-1/4)*z^2+(3/8)*z+4 = 0

(-1/4)*z^2+(3/8)*z+4 = 0

DELTA = (3/8)^2-(4*4*(-1/4))

DELTA = 265/64

DELTA > 0

z = ((265/64)^(1/2)-(3/8))/(2*(-1/4)) or z = (-(3/8)-(265/64)^(1/2))/(2*(-1/4))

z = -2*((265/64)^(1/2)-3/8) or z = 2*((265/64)^(1/2)+3/8)

z in { -2*((265/64)^(1/2)-3/8), 2*((265/64)^(1/2)+3/8)} 

z in { -2*((265/64)^(1/2)-3/8), 2*((265/64)^(1/2)+3/8) }

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