n^2-10/n+1

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Solution for n^2-10/n+1 equation: 


D( n )

n = 0

n = 0

n = 0

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

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

n^2-10*n^-1+1 = 0

1*n^2-10*n^-1+1*n^0 = 0

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

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

n^1

n^3+n-10 = 0

{ 1, -1, 2, -2, 5, -5, 10, -10 }

1

n = 1

n^3+n-10 = -8

1

-1

n = -1

n^3+n-10 = -12

-1

2

n = 2

n^3+n-10 = 0

2

n-2

n^2+2*n+5

n^3+n-10

n-2

2*n^2-n^3

2*n^2+n-10

4*n-2*n^2

5*n-10

10-5*n

0

n^2+2*n+5 = 0

DELTA = 2^2-(1*4*5)

DELTA = -16

DELTA < 0

n in { 2} 

n = 2

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