6/5x-4/x=-3

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 141/5

DELTA > 0

x = ((141/5)^(1/2)-3)/(2*(6/5)) or x = (-(141/5)^(1/2)-3)/(2*(6/5))

x = 5/12*((141/5)^(1/2)-3) or x = -5/12*((141/5)^(1/2)+3)

x in { -5/12*((141/5)^(1/2)+3), 5/12*((141/5)^(1/2)-3)}

x in { -5/12*((141/5)^(1/2)+3), 5/12*((141/5)^(1/2)-3) }

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