5k-5/k+1

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Solution for 5k-5/k+1 equation: 


D( k )

k = 0

k = 0

k = 0

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

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

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

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

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

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

k^1

5*k^2+k-5 = 0

5*k^2+k-5 = 0

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

DELTA = 101

DELTA > 0

k = (101^(1/2)-1)/(2*5) or k = (-101^(1/2)-1)/(2*5)

k = (101^(1/2)-1)/10 or k = (-(101^(1/2)+1))/10

k in { (-(101^(1/2)+1))/10, (101^(1/2)-1)/10} 

k in { (-(101^(1/2)+1))/10, (101^(1/2)-1)/10 }

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