7/3k+1/k=-4

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Solution for 7/3k+1/k=-4 equation:


D( k )

k = 0

k = 0

k = 0

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

(7/3)*k+1/k = -4 // + 4

(7/3)*k+1/k+4 = 0

7/3*k^1+1*k^-1+4*k^0 = 0

(7/3*k^2+4*k^1+1*k^0)/(k^1) = 0 // * k^2

k^1*(7/3*k^2+4*k^1+1*k^0) = 0

k^1

(7/3)*k^2+4*k+1 = 0

(7/3)*k^2+4*k+1 = 0

DELTA = 4^2-(1*4*(7/3))

DELTA = 20/3

DELTA > 0

k = ((20/3)^(1/2)-4)/(2*(7/3)) or k = (-(20/3)^(1/2)-4)/(2*(7/3))

k = 3/14*((20/3)^(1/2)-4) or k = -3/14*((20/3)^(1/2)+4)

k in { -3/14*((20/3)^(1/2)+4), 3/14*((20/3)^(1/2)-4)}

k in { -3/14*((20/3)^(1/2)+4), 3/14*((20/3)^(1/2)-4) }

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