1/v^2-2/v^4

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Solution for 1/v^2-2/v^4 equation: 


D( v )

v^4 = 0

v^2 = 0

v^4 = 0

v^4 = 0

1*v^4 = 0 // : 1

v^4 = 0

v = 0

v^2 = 0

v^2 = 0

1*v^2 = 0 // : 1

v^2 = 0

v = 0

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

1/(v^2)-(2/(v^4)) = 0

1/(v^2)-2*v^-4 = 0

v^-2-2*v^-4 = 0

t_1 = v^-2

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

t_1-2*t_1^2 = 0

DELTA = 1^2-(-2*0*4)

DELTA = 1

DELTA > 0

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

t_1 = 0 or t_1 = 1/2

t_1 = 0

v^-2+0 = 0

v^-2 = 0

1*v^-2 = 0 // : 1

v^-2 = 0

v należy do O

t_1 = 1/2

v^-2-1/2 = 0

1*v^-2 = 1/2 // : 1

v^-2 = 1/2

-2 < 0

1/(v^2) = 1/2 // * v^2

1 = 1/2*v^2 // : 1/2

2 = v^2

v^2 = 2 // ^ 1/2

abs(v) = 2^(1/2)

v = 2^(1/2) or v = -2^(1/2)

v in { 2^(1/2), -2^(1/2) }

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