1/3x-15+2/x-3

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Solution for 1/3x-15+2/x-3 equation:


D( x )

x = 0

x = 0

x = 0

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

(1/3)*x+2/x-15-3 = 0

1/3*x^1+2*x^-1-18*x^0 = 0

(1/3*x^2-18*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(1/3*x^2-18*x^1+2*x^0) = 0

x^1

(1/3)*x^2-18*x+2 = 0

(1/3)*x^2-18*x+2 = 0

DELTA = (-18)^2-(2*4*(1/3))

DELTA = 964/3

DELTA > 0

x = ((964/3)^(1/2)+18)/(2*(1/3)) or x = (18-(964/3)^(1/2))/(2*(1/3))

x = 3/2*((964/3)^(1/2)+18) or x = 3/2*(18-(964/3)^(1/2))

x in { 3/2*(18-(964/3)^(1/2)), 3/2*((964/3)^(1/2)+18)}

x in { 3/2*(18-(964/3)^(1/2)), 3/2*((964/3)^(1/2)+18) }

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