(2/x^2+12x+36)+(5/x^2+x-30)

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Solution for (2/x^2+12x+36)+(5/x^2+x-30) equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

12*x+x+2/(x^2)+5/(x^2)-30+36 = 0

13*x^1+7*x^-2+6*x^0 = 0

(13*x^3+6*x^2+7*x^0)/(x^2) = 0 // * x^4

x^2*(13*x^3+6*x^2+7*x^0) = 0

x^2

13*x^3+6*x^2+7 = 0

{ 1, -1, 7, -7 }

1

x = 1

13*x^3+6*x^2+7 = 26

1

-1

x = -1

13*x^3+6*x^2+7 = 0

-1

x+1

13*x^2-7*x+7

13*x^3+6*x^2+7

x+1

-13*x^3-13*x^2

7-7*x^2

7*x^2+7*x

7*x+7

-7*x-7

0

13*x^2-7*x+7 = 0

DELTA = (-7)^2-(4*7*13)

DELTA = -315

DELTA < 0

x in { -1} 

x = -1

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