n-2(n^2-n)/12

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Solution for n-2(n^2-n)/12 equation: 


n in (-oo:+oo)

n-2 < (n^2-n)/12 // - (n^2-n)/12

n-((n^2-n)/12)-2 < 0

(-1*(n^2-n))/12+n-2 < 0

(-1*(n^2-n))/12+(12*n)/12+(-2*12)/12 < 0

12*n-1*(n^2-n)-2*12 < 0

13*n-n^2-24 < 0

13*n-n^2-24 = 0

13*n-n^2-24 = 0

DELTA = 13^2-(-24*(-1)*4)

DELTA = 73

DELTA > 0

n = (73^(1/2)-13)/(-1*2) or n = (-73^(1/2)-13)/(-1*2)

n = (73^(1/2)-13)/(-2) or n = (73^(1/2)+13)/2

(n-((73^(1/2)-13)/(-2)))*(n-((73^(1/2)+13)/2)) = 0

((n-((73^(1/2)-13)/(-2)))*(n-((73^(1/2)+13)/2)))/12 < 0

((n-((73^(1/2)-13)/(-2)))*(n-((73^(1/2)+13)/2)))/12 < 0 // * 12^2

12*(n-((73^(1/2)-13)/(-2)))*(n-((73^(1/2)+13)/2)) < 0

( 12 )

12 < 0

n belongs to the empty set

( n-((73^(1/2)+13)/2) )

n-((73^(1/2)+13)/2) < 0 // + (73^(1/2)+13)/2

n < (73^(1/2)+13)/2

( n-((73^(1/2)-13)/(-2)) )

n-((73^(1/2)-13)/(-2)) < 0 // + (73^(1/2)-13)/(-2)

n < (73^(1/2)-13)/(-2)

	(-oo:(73^(1/2)-13)/(-2))	((73^(1/2)-13)/(-2):(73^(1/2)+13)/2)	((73^(1/2)+13)/2:+oo)
12	+	+	+
n-((73^(1/2)+13)/2)	-	-	+
n-((73^(1/2)-13)/(-2))	-	+	+


n in ((73^(1/2)-13)/(-2):(73^(1/2)+13)/2)

((73^(1/2)-13)/(-2):(73^(1/2)+13)/2)

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