7/3x-1-5/x+1=4

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Solution for 7/3x-1-5/x+1=4 equation:


D( x )

x = 0

x = 0

x = 0

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

(7/3)*x-(5/x)-1+1 = 4 // - 4

(7/3)*x-(5/x)-4-1+1 = 0

(7/3)*x-5*x^-1-4-1+1 = 0

7/3*x^1-5*x^-1-4*x^0 = 0

(7/3*x^2-4*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(7/3*x^2-4*x^1-5*x^0) = 0

x^1

(7/3)*x^2-4*x-5 = 0

(7/3)*x^2-4*x-5 = 0

DELTA = (-4)^2-(-5*4*(7/3))

DELTA = 188/3

DELTA > 0

x = ((188/3)^(1/2)+4)/(2*(7/3)) or x = (4-(188/3)^(1/2))/(2*(7/3))

x = 3/14*((188/3)^(1/2)+4) or x = 3/14*(4-(188/3)^(1/2))

x in { 3/14*(4-(188/3)^(1/2)), 3/14*((188/3)^(1/2)+4)}

x in { 3/14*(4-(188/3)^(1/2)), 3/14*((188/3)^(1/2)+4) }

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