4/d+1/2d=5

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Solution for 4/d+1/2d=5 equation:


D( d )

d = 0

d = 0

d = 0

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

(1/2)*d+4/d = 5 // - 5

(1/2)*d+4/d-5 = 0

1/2*d^1+4*d^-1-5*d^0 = 0

(1/2*d^2-5*d^1+4*d^0)/(d^1) = 0 // * d^2

d^1*(1/2*d^2-5*d^1+4*d^0) = 0

d^1

(1/2)*d^2-5*d+4 = 0

(1/2)*d^2-5*d+4 = 0

DELTA = (-5)^2-(4*4*(1/2))

DELTA = 17

DELTA > 0

d = (17^(1/2)+5)/(2*(1/2)) or d = (5-17^(1/2))/(2*(1/2))

d = 17^(1/2)+5 or d = 5-17^(1/2)

d in { 5-17^(1/2), 17^(1/2)+5}

d in { 5-17^(1/2), 17^(1/2)+5 }

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