4n-37/3=10/n

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Solution for 4n-37/3=10/n equation: 


D( n )

n = 0

n = 0

n = 0

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

4*n-(37/3) = 10/n // - 10/n

4*n-(10/n)-(37/3) = 0

4*n-10*n^-1-37/3 = 0

4*n^1-10*n^-1-37/3*n^0 = 0

(4*n^2-37/3*n^1-10*n^0)/(n^1) = 0 // * n^2

n^1*(4*n^2-37/3*n^1-10*n^0) = 0

n^1

4*n^2+(-37/3)*n-10 = 0

4*n^2+(-37/3)*n-10 = 0

DELTA = (-37/3)^2-(-10*4*4)

DELTA = 2809/9

DELTA > 0

n = ((2809/9)^(1/2)-(-37/3))/(2*4) or n = (-(-37/3)-(2809/9)^(1/2))/(2*4)

n = 15/4 or n = -2/3

n in { -2/3, 15/4} 

n in { -2/3, 15/4 }

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