1/x+2/3x=4

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Solution for 1/x+2/3x=4 equation:


D( x )

x = 0

x = 0

x = 0

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

(2/3)*x+1/x = 4 // - 4

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

2/3*x^1+1*x^-1-4*x^0 = 0

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

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

x^1

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

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

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

DELTA = 40/3

DELTA > 0

x = ((40/3)^(1/2)+4)/(2*(2/3)) or x = (4-(40/3)^(1/2))/(2*(2/3))

x = 3/4*((40/3)^(1/2)+4) or x = 3/4*(4-(40/3)^(1/2))

x in { 3/4*(4-(40/3)^(1/2)), 3/4*((40/3)^(1/2)+4)}

x in { 3/4*(4-(40/3)^(1/2)), 3/4*((40/3)^(1/2)+4) }

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