x-3/x=5/8

Solution for x-3/x=5/8 equation:

D( x )

x = 0

x = 0

x = 0

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

x-(3/x) = 5/8 // - 5/8

x-(3/x)-(5/8) = 0

x-3*x^-1-5/8 = 0

1*x^1-3*x^-1-5/8*x^0 = 0

(1*x^2-5/8*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-5/8*x^1-3*x^0) = 0

x^1

x^2+(-5/8)*x-3 = 0

x^2+(-5/8)*x-3 = 0

DELTA = (-5/8)^2-(-3*1*4)

DELTA = 793/64

DELTA > 0

x = ((793/64)^(1/2)-(-5/8))/(1*2) or x = (-(-5/8)-(793/64)^(1/2))/(1*2)

x = ((793/64)^(1/2)+5/8)/2 or x = (5/8-(793/64)^(1/2))/2

x in { (5/8-(793/64)^(1/2))/2, ((793/64)^(1/2)+5/8)/2} 

x in { (5/8-(793/64)^(1/2))/2, ((793/64)^(1/2)+5/8)/2 }