4k-3/k+1

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


D( k )

k = 0

k = 0

k = 0

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

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

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

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

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

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

k^1

4*k^2+k-3 = 0

4*k^2+k-3 = 0

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

DELTA = 49

DELTA > 0

k = (49^(1/2)-1)/(2*4) or k = (-49^(1/2)-1)/(2*4)

k = 3/4 or k = -1

k in { -1, 3/4} 

k in { -1, 3/4 }

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