56/n=7n

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Solution for 56/n=7n equation: 


D( n )

n = 0

n = 0

n = 0

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

56/n = 7*n // - 7*n

56/n-(7*n) = 0

56/n-7*n = 0

56*n^-1-7*n^1 = 0

(56*n^0-7*n^2)/(n^1) = 0 // * n^2

n^1*(56*n^0-7*n^2) = 0

n^1

56-7*n^2 = 0

56-7*n^2 = 0

DELTA = 0^2-(-7*4*56)

DELTA = 1568

DELTA > 0

n = (1568^(1/2)+0)/(-7*2) or n = (0-1568^(1/2))/(-7*2)

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

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

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

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