3n^6-45n^3/135n-9n^2

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Solution for 3n^6-45n^3/135n-9n^2 equation: 


n in (-oo:+oo)

3*n^6-(n*((45*n^3)/135))-(9*n^2) = 0

3*n^6+(-1/3)*n^4-9*n^2 = 0

3*n^6-1/3*n^4-9*n^2 = 0

t_1 = n^2

3*t_1^3-1/3*t_1^2-9*t_1^1 = 0

3*t_1^3-1/3*t_1^2-9*t_1 = 0

t_1*(3*t_1^2-1/3*t_1-9) = 0

3*t_1^2-1/3*t_1-9 = 0

DELTA = (-1/3)^2-(-9*3*4)

DELTA = 973/9

DELTA > 0

t_1 = ((973/9)^(1/2)+1/3)/(2*3) or t_1 = (1/3-(973/9)^(1/2))/(2*3)

t_1 = ((973/9)^(1/2)+1/3)/6 or t_1 = (1/3-(973/9)^(1/2))/6

t_1 = 0

t_1 = 0

t_1 = (1/3-(973/9)^(1/2))/6

n^2-((1/3-(973/9)^(1/2))/6) = 0

1*n^2 = (1/3-(973/9)^(1/2))/6 // : 1

n^2 = (1/3-(973/9)^(1/2))/6

t_1 = ((973/9)^(1/2)+1/3)/6

n^2-(((973/9)^(1/2)+1/3)/6) = 0

1*n^2 = ((973/9)^(1/2)+1/3)/6 // : 1

n^2 = ((973/9)^(1/2)+1/3)/6

n^2 = ((973/9)^(1/2)+1/3)/6 // ^ 1/2

abs(n) = (((973/9)^(1/2)+1/3)^(1/2))/(6^(1/2))

n = (((973/9)^(1/2)+1/3)^(1/2))/(6^(1/2)) or n = -((((973/9)^(1/2)+1/3)^(1/2))/(6^(1/2)))

t_1 = 0

n^2+0 = 0

n^2 = 0

1*n^2 = 0 // : 1

n^2 = 0

n = 0

n in { (((973/9)^(1/2)+1/3)^(1/2))/(6^(1/2)), -((((973/9)^(1/2)+1/3)^(1/2))/(6^(1/2))), 0 }

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