5/k=10/6k

Solution for 5/k=10/6k equation:

D( k )

k = 0

k = 0

k = 0

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

5/k = (10/6)*k // - (10/6)*k

5/k-((10/6)*k) = 0

(-5/3)*k+5/k = 0

5*k^-1-5/3*k^1 = 0

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

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

k^1

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

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

DELTA = 0^2-(4*5*(-5/3))

DELTA = 100/3

DELTA > 0

k = ((100/3)^(1/2)+0)/(2*(-5/3)) or k = (0-(100/3)^(1/2))/(2*(-5/3))

k = -3/10*(100/3)^(1/2) or k = 3/10*(100/3)^(1/2)

k in { -3/10*(100/3)^(1/2), 3/10*(100/3)^(1/2)} 

k in { -3/10*(100/3)^(1/2), 3/10*(100/3)^(1/2) }