(4/3x)-(2/x)=-3

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Solution for (4/3x)-(2/x)=-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 59/3

DELTA > 0

x = ((59/3)^(1/2)-3)/(2*(4/3)) or x = (-(59/3)^(1/2)-3)/(2*(4/3))

x = 3/8*((59/3)^(1/2)-3) or x = -3/8*((59/3)^(1/2)+3)

x in { -3/8*((59/3)^(1/2)+3), 3/8*((59/3)^(1/2)-3)} 

x in { -3/8*((59/3)^(1/2)+3), 3/8*((59/3)^(1/2)-3) }

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