5n^2-2/n^2

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Solution for 5n^2-2/n^2 equation: 


D( n )

n^2 = 0

n^2 = 0

n^2 = 0

1*n^2 = 0 // : 1

n^2 = 0

n = 0

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

5*n^2-(2/(n^2)) = 0

5*n^2-2*n^-2 = 0

t_1 = n^2

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

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

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

t_1^1*(5*t_1^2-2*t_1^0) = 0

t_1^1

5*t_1^2-2 = 0

5*t_1^2-2 = 0

DELTA = 0^2-(-2*4*5)

DELTA = 40

DELTA > 0

t_1 = (40^(1/2)+0)/(2*5) or t_1 = (0-40^(1/2))/(2*5)

t_1 = (1*10^(1/2))/5 or t_1 = (-10^(1/2))/5

t_1 in { (-10^(1/2))/5, (1*10^(1/2))/5} 

t_1 = (-10^(1/2))/5

n^2-((-10^(1/2))/5) = 0

1*n^2 = (-10^(1/2))/5 // : 1

n^2 = (-10^(1/2))/5

t_1 = (1*10^(1/2))/5

n^2-((1*10^(1/2))/5) = 0

n^2-((10^(1/2))/5) = 0

1*n^2 = (10^(1/2))/5 // : 1

n^2 = (10^(1/2))/5

n^2 = (10^(1/2))/5 // ^ 1/2

abs(n) = (10^(1/4))/(5^(1/2))

n = (10^(1/4))/(5^(1/2)) or n = -((10^(1/4))/(5^(1/2)))

n in { (10^(1/4))/(5^(1/2)), -((10^(1/4))/(5^(1/2))) }

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