8n^4-4n^-2/2n^-2

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Solution for 8n^4-4n^-2/2n^-2 equation:


D( n )

n = 0

n = 0

n = 0

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

8*n^4-(((4*n^-2)/2)*n^-2) = 0

8*n^4-2*n^-4 = 0

t_1 = n^4

8*t_1^1-2*t_1^-1 = 0

8*t_1^1-2*t_1^-1 = 0

(8*t_1^2-2*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(8*t_1^2-2*t_1^0) = 0

t_1^1

8*t_1^2-2 = 0

8*t_1^2-2 = 0

DELTA = 0^2-(-2*4*8)

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)+0)/(2*8) or t_1 = (0-64^(1/2))/(2*8)

t_1 = 1/2 or t_1 = -1/2

t_1 in { -1/2, 1/2}

t_1 = -1/2

n^4+1/2 = 0

1*n^4 = -1/2 // : 1

n^4 = -1/2

t_1 = 1/2

n^4-1/2 = 0

1*n^4 = 1/2 // : 1

n^4 = 1/2

n^4 = 1/2 // ^ 1/4

abs(n) = (1/2)^(1/4)

n = (1/2)^(1/4) or n = -(1/2)^(1/4)

n in { (1/2)^(1/4), -(1/2)^(1/4) }

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