3n+10/n=17

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Solution for 3n+10/n=17 equation:


D( n )

n = 0

n = 0

n = 0

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

3*n+10/n = 17 // - 17

3*n+10/n-17 = 0

3*n^1+10*n^-1-17*n^0 = 0

(3*n^2-17*n^1+10*n^0)/(n^1) = 0 // * n^2

n^1*(3*n^2-17*n^1+10*n^0) = 0

n^1

3*n^2-17*n+10 = 0

3*n^2-17*n+10 = 0

DELTA = (-17)^2-(3*4*10)

DELTA = 169

DELTA > 0

n = (169^(1/2)+17)/(2*3) or n = (17-169^(1/2))/(2*3)

n = 5 or n = 2/3

n in { 2/3, 5}

n in { 2/3, 5 }

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