-1/k+5=18/17k

Solution for -1/k+5=18/17k equation:

D( k )

k = 0

k = 0

k = 0

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

5-1/k = (18/17)*k // - (18/17)*k

5-((18/17)*k)-1/k = 0

(-18/17)*k-1/k+5 = 0

5*k^0-18/17*k^1-1*k^-1 = 0

(5*k^1-18/17*k^2-1*k^0)/(k^1) = 0 // * k^2

k^1*(5*k^1-18/17*k^2-1*k^0) = 0

k^1

(-18/17)*k^2+5*k-1 = 0

(-18/17)*k^2+5*k-1 = 0

DELTA = 5^2-(-1*4*(-18/17))

DELTA = 353/17

DELTA > 0

k = ((353/17)^(1/2)-5)/(2*(-18/17)) or k = (-(353/17)^(1/2)-5)/(2*(-18/17))

k = -17/36*((353/17)^(1/2)-5) or k = 17/36*((353/17)^(1/2)+5)

k in { -17/36*((353/17)^(1/2)-5), 17/36*((353/17)^(1/2)+5)} 

k in { -17/36*((353/17)^(1/2)-5), 17/36*((353/17)^(1/2)+5) }