4/x-3/8/3x-9

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Solution for 4/x-3/8/3x-9 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x-(((3/8)/3)*x)-9 = 0

(-1/8)*x+4/x-9 = 0

4*x^-1-1/8*x^1-9*x^0 = 0

(4*x^0-1/8*x^2-9*x^1)/(x^1) = 0 // * x^2

x^1*(4*x^0-1/8*x^2-9*x^1) = 0

x^1

(-1/8)*x^2-9*x+4 = 0

(-1/8)*x^2-9*x+4 = 0

DELTA = (-9)^2-(4*4*(-1/8))

DELTA = 83

DELTA > 0

x = (83^(1/2)+9)/(2*(-1/8)) or x = (9-83^(1/2))/(2*(-1/8))

x = -4*(83^(1/2)+9) or x = -4*(9-83^(1/2))

x in { -4*(83^(1/2)+9), -4*(9-83^(1/2))} 

x in { -4*(83^(1/2)+9), -4*(9-83^(1/2)) }

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