(3/7x)-5/x=3

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Solution for (3/7x)-5/x=3 equation:


D( x )

x = 0

x = 0

x = 0

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

(3/7)*x-(5/x) = 3 // - 3

(3/7)*x-(5/x)-3 = 0

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

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

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

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

x^1

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

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

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

DELTA = 123/7

DELTA > 0

x = ((123/7)^(1/2)+3)/(2*(3/7)) or x = (3-(123/7)^(1/2))/(2*(3/7))

x = 7/6*((123/7)^(1/2)+3) or x = 7/6*(3-(123/7)^(1/2))

x in { 7/6*(3-(123/7)^(1/2)), 7/6*((123/7)^(1/2)+3)}

x in { 7/6*(3-(123/7)^(1/2)), 7/6*((123/7)^(1/2)+3) }

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