3k-2/2k^2(k+4)

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Solution for 3k-2/2k^2(k+4) equation: 


k in (-oo:+oo)

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

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

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

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

3*k-k^3-4*k^2 = 0

3*k-k^3-4*k^2 = 0

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

3-k^2-4*k = 0

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

DELTA = 28

DELTA > 0

k = (28^(1/2)+4)/(-1*2) or k = (4-28^(1/2))/(-1*2)

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

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

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

( k-((2*7^(1/2)+4)/(-2)) )

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

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

( k-((4-2*7^(1/2))/(-2)) )

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

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

( k )

k = 0

k in { (2*7^(1/2)+4)/(-2), (4-2*7^(1/2))/(-2), 0 }

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