(6)/(7n^2)-(4)/(21n)

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Solution for (6)/(7n^2)-(4)/(21n) equation:


D( n )

21*n = 0

7*n^2 = 0

21*n = 0

21*n = 0

21*n = 0 // : 21

n = 0

7*n^2 = 0

7*n^2 = 0

7*n^2 = 0 // : 7

n^2 = 0

n = 0

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

6/(7*n^2)-(4/(21*n)) = 0

(-4/21)*n^-1+6/(7*n^2) = 0

6/7*n^-2-4/21*n^-1 = 0

t_1 = n^-1

6/7*t_1^2-4/21*t_1^1 = 0

6/7*t_1^2-4/21*t_1 = 0

DELTA = (-4/21)^2-(0*6/7*4)

DELTA = 16/441

DELTA > 0

t_1 = ((16/441)^(1/2)+4/21)/(6/7*2) or t_1 = (4/21-(16/441)^(1/2))/(6/7*2)

t_1 = 2/9 or t_1 = 0

t_1 = 0

n^-1+0 = 0

n^-1 = 0

1*n^-1 = 0 // : 1

n^-1 = 0

n należy do O

t_1 = 2/9

n^-1-2/9 = 0

1*n^-1 = 2/9 // : 1

n^-1 = 2/9

-1 < 0

1/(n^1) = 2/9 // * n^1

1 = 2/9*n^1 // : 2/9

9/2 = n^1

n = 9/2

n = 9/2

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