2/5x+8=17/x-13

Solution for 2/5x+8=17/x-13 equation:

D( x )

x = 0

x = 0

x = 0

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

(2/5)*x+8 = 17/x-13 // - 17/x-13

(2/5)*x-(17/x)+8+13 = 0

(2/5)*x-17*x^-1+8+13 = 0

2/5*x^1-17*x^-1+21*x^0 = 0

(2/5*x^2+21*x^1-17*x^0)/(x^1) = 0 // * x^2

x^1*(2/5*x^2+21*x^1-17*x^0) = 0

x^1

(2/5)*x^2+21*x-17 = 0

(2/5)*x^2+21*x-17 = 0

DELTA = 21^2-(-17*4*(2/5))

DELTA = 2341/5

DELTA > 0

x = ((2341/5)^(1/2)-21)/(2*(2/5)) or x = (-(2341/5)^(1/2)-21)/(2*(2/5))

x = 5/4*((2341/5)^(1/2)-21) or x = -5/4*((2341/5)^(1/2)+21)

x in { -5/4*((2341/5)^(1/2)+21), 5/4*((2341/5)^(1/2)-21)} 

x in { -5/4*((2341/5)^(1/2)+21), 5/4*((2341/5)^(1/2)-21) }