k+6/k=5

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Solution for k+6/k=5 equation: 


D( k )

k = 0

k = 0

k = 0

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

k+6/k = 5 // - 5

k+6/k-5 = 0

1*k^1+6*k^-1-5*k^0 = 0

(1*k^2-5*k^1+6*k^0)/(k^1) = 0 // * k^2

k^1*(1*k^2-5*k^1+6*k^0) = 0

k^1

k^2-5*k+6 = 0

k^2-5*k+6 = 0

DELTA = (-5)^2-(1*4*6)

DELTA = 1

DELTA > 0

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

k = 3 or k = 2

k in { 2, 3} 

k in { 2, 3 }

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