((1/k-1)/1/k)-1=1/4

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Solution for ((1/k-1)/1/k)-1=1/4 equation: 


D( k )

k = 0

k = 0

k = 0

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

((1/k-1)/1)/k-1 = 1/4 // - 1/4

((1/k-1)/1)/k-(1/4)-1 = 0

(1/k-1)/k-1/4-1 = 0

(k^-1-1)/k-1/4-1 = 0

(4*(k^-1-1))/(4*k)+(-1*k)/(4*k)+(-1*4*k)/(4*k) = 0

4*(k^-1-1)-1*k-1*4*k = 0

4*k^-1-k-4*k-4 = 0

4*k^-1-5*k-4 = 0

4*k^-1-5*k-4 = 0

4*k^-1-5*k^1-4*k^0 = 0

(4*k^0-5*k^2-4*k^1)/(k^1) = 0 // * k^2

k^1*(4*k^0-5*k^2-4*k^1) = 0

k^1

4-5*k^2-4*k = 0

4-5*k^2-4*k = 0

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

DELTA = 96

DELTA > 0

k = (96^(1/2)+4)/(-5*2) or k = (4-96^(1/2))/(-5*2)

k = (4*6^(1/2)+4)/(-10) or k = (4-4*6^(1/2))/(-10)

k in { (4*6^(1/2)+4)/(-10), (4-4*6^(1/2))/(-10)} 

(k-((4*6^(1/2)+4)/(-10)))*(k-((4-4*6^(1/2))/(-10))) = 0

((k-((4*6^(1/2)+4)/(-10)))*(k-((4-4*6^(1/2))/(-10))))/(4*k) = 0

((k-((4*6^(1/2)+4)/(-10)))*(k-((4-4*6^(1/2))/(-10))))/(4*k) = 0 // * 4*k

(k-((4*6^(1/2)+4)/(-10)))*(k-((4-4*6^(1/2))/(-10))) = 0

( k-((4*6^(1/2)+4)/(-10)) )

k-((4*6^(1/2)+4)/(-10)) = 0 // + (4*6^(1/2)+4)/(-10)

k = (4*6^(1/2)+4)/(-10)

( k-((4-4*6^(1/2))/(-10)) )

k-((4-4*6^(1/2))/(-10)) = 0 // + (4-4*6^(1/2))/(-10)

k = (4-4*6^(1/2))/(-10)

k in { (4*6^(1/2)+4)/(-10), (4-4*6^(1/2))/(-10) }

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