7/2d-2/d=3/4-1/4d

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Solution for 7/2d-2/d=3/4-1/4d equation:


D( d )

d = 0

d = 0

d = 0

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

(7/2)*d-(2/d) = 3/4-((1/4)*d) // - 3/4-((1/4)*d)

(7/2)*d+(1/4)*d-(2/d)-(3/4) = 0

(7/2)*d+(1/4)*d-2*d^-1-3/4 = 0

15/4*d^1-2*d^-1-3/4*d^0 = 0

(15/4*d^2-3/4*d^1-2*d^0)/(d^1) = 0 // * d^2

d^1*(15/4*d^2-3/4*d^1-2*d^0) = 0

d^1

(15/4)*d^2+(-3/4)*d-2 = 0

(15/4)*d^2+(-3/4)*d-2 = 0

DELTA = (-3/4)^2-(-2*4*(15/4))

DELTA = 489/16

DELTA > 0

d = ((489/16)^(1/2)-(-3/4))/(2*(15/4)) or d = (-(-3/4)-(489/16)^(1/2))/(2*(15/4))

d = 2/15*((489/16)^(1/2)+3/4) or d = 2/15*(3/4-(489/16)^(1/2))

d in { 2/15*(3/4-(489/16)^(1/2)), 2/15*((489/16)^(1/2)+3/4)}

d in { 2/15*(3/4-(489/16)^(1/2)), 2/15*((489/16)^(1/2)+3/4) }

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