2(x-4)(143/x-4)-126=0

Solution for 2(x-4)(143/x-4)-126=0 equation:

D( x )

x = 0

x = 0

x = 0

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

2*(x-4)*(143/x-4)-126 = 0

2*(x-4)*(143*x^-1-4)-126 = 0

2*(x-4)*(143*x^-1-4)-126 = 0

192-8*x-1144*x^-1 = 0

192-8*x-1144*x^-1 = 0

8*(24-x-143*x^-1) = 0

24*x^0-1*x^1-143*x^-1 = 0

(24*x^1-1*x^2-143*x^0)/(x^1) = 0 // * x^2

x^1*(24*x^1-1*x^2-143*x^0) = 0

x^1

24*x-x^2-143 = 0

24*x-x^2-143 = 0

DELTA = 24^2-(-143*(-1)*4)

DELTA = 4

DELTA > 0

x = (4^(1/2)-24)/(-1*2) or x = (-4^(1/2)-24)/(-1*2)

x = 11 or x = 13

x in { 11, 13} 

8*(x-11)*(x-13) = 0

8*(x-11)*(x-13) = 0

( 8 )

8 = 0

x belongs to the empty set

( x-11 )

x-11 = 0 // + 11

x = 11

( x-13 )

x-13 = 0 // + 13

x = 13

x in { 11, 13 }