x-5/x=144

Solution for x-5/x=144 equation:

D( x )

x = 0

x = 0

x = 0

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

x-(5/x) = 144 // - 144

x-(5/x)-144 = 0

x-5*x^-1-144 = 0

1*x^1-5*x^-1-144*x^0 = 0

(1*x^2-144*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-144*x^1-5*x^0) = 0

x^1

x^2-144*x-5 = 0

x^2-144*x-5 = 0

DELTA = (-144)^2-(-5*1*4)

DELTA = 20756

DELTA > 0

x = (20756^(1/2)+144)/(1*2) or x = (144-20756^(1/2))/(1*2)

x = (2*5189^(1/2)+144)/2 or x = (144-2*5189^(1/2))/2

x in { (144-2*5189^(1/2))/2, (2*5189^(1/2)+144)/2} 

x in { (144-2*5189^(1/2))/2, (2*5189^(1/2)+144)/2 }