2/x-12/8x-5

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Solution for 2/x-12/8x-5 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x-((12/8)*x)-5 = 0

(-3/2)*x+2/x-5 = 0

2*x^-1-3/2*x^1-5*x^0 = 0

(2*x^0-3/2*x^2-5*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-3/2*x^2-5*x^1) = 0

x^1

(-3/2)*x^2-5*x+2 = 0

(-3/2)*x^2-5*x+2 = 0

DELTA = (-5)^2-(2*4*(-3/2))

DELTA = 37

DELTA > 0

x = (37^(1/2)+5)/(2*(-3/2)) or x = (5-37^(1/2))/(2*(-3/2))

x = (37^(1/2)+5)/(-3) or x = (5-37^(1/2))/(-3)

x in { (37^(1/2)+5)/(-3), (5-37^(1/2))/(-3)}

x in { (37^(1/2)+5)/(-3), (5-37^(1/2))/(-3) }

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