8j-5/j=67

Solution for 8j-5/j=67 equation:

D( j )

j = 0

j = 0

j = 0

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

8*j-(5/j) = 67 // - 67

8*j-(5/j)-67 = 0

8*j-5*j^-1-67 = 0

8*j^1-5*j^-1-67*j^0 = 0

(8*j^2-67*j^1-5*j^0)/(j^1) = 0 // * j^2

j^1*(8*j^2-67*j^1-5*j^0) = 0

j^1

8*j^2-67*j-5 = 0

8*j^2-67*j-5 = 0

DELTA = (-67)^2-(-5*4*8)

DELTA = 4649

DELTA > 0

j = (4649^(1/2)+67)/(2*8) or j = (67-4649^(1/2))/(2*8)

j = (4649^(1/2)+67)/16 or j = (67-4649^(1/2))/16

j in { (67-4649^(1/2))/16, (4649^(1/2)+67)/16} 

j in { (67-4649^(1/2))/16, (4649^(1/2)+67)/16 }