8/5n=4/n

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Solution for 8/5n=4/n equation:


D( n )

n = 0

n = 0

n = 0

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

(8/5)*n = 4/n // - 4/n

(8/5)*n-(4/n) = 0

(8/5)*n-4*n^-1 = 0

8/5*n^1-4*n^-1 = 0

(8/5*n^2-4*n^0)/(n^1) = 0 // * n^2

n^1*(8/5*n^2-4*n^0) = 0

n^1

(8/5)*n^2-4 = 0

(8/5)*n^2-4 = 0

DELTA = 0^2-(-4*4*(8/5))

DELTA = 128/5

DELTA > 0

n = ((128/5)^(1/2)+0)/(2*(8/5)) or n = (0-(128/5)^(1/2))/(2*(8/5))

n = 5/16*(128/5)^(1/2) or n = 5/16*(128/5)^(1/2)

n in { 5/16*(128/5)^(1/2), 5/16*(128/5)^(1/2)}

n in { 5/16*(128/5)^(1/2), 5/16*(128/5)^(1/2) }

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