5/3x-6/x=4

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Solution for 5/3x-6/x=4 equation:


D( x )

x = 0

x = 0

x = 0

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

(5/3)*x-(6/x) = 4 // - 4

(5/3)*x-(6/x)-4 = 0

(5/3)*x-6*x^-1-4 = 0

5/3*x^1-6*x^-1-4*x^0 = 0

(5/3*x^2-4*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(5/3*x^2-4*x^1-6*x^0) = 0

x^1

(5/3)*x^2-4*x-6 = 0

(5/3)*x^2-4*x-6 = 0

DELTA = (-4)^2-(-6*4*(5/3))

DELTA = 56

DELTA > 0

x = (56^(1/2)+4)/(2*(5/3)) or x = (4-56^(1/2))/(2*(5/3))

x = 3/10*(2*14^(1/2)+4) or x = 3/10*(4-2*14^(1/2))

x in { 3/10*(4-2*14^(1/2)), 3/10*(2*14^(1/2)+4)}

x in { 3/10*(4-2*14^(1/2)), 3/10*(2*14^(1/2)+4) }

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