(9/x^2)-(9/(x+1))=0

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Solution for (9/x^2)-(9/(x+1))=0 equation: 


D( x )

x+1 = 0

x^2 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:-1) U (-1:0) U (0:+oo)

9/(x^2)-(9/(x+1)) = 0

9/(x^2)-9*(x+1)^-1 = 0

9/(x^2)-9/(x+1) = 0

(-9*x^2)/(x^2*(x+1))+(9*(x+1))/(x^2*(x+1)) = 0

9*(x+1)-9*x^2 = 0

9*x-9*x^2+9 = 0

9*x-9*x^2+9 = 0

9*(x-x^2+1) = 0

x-x^2+1 = 0

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

DELTA = 5

DELTA > 0

x = (5^(1/2)-1)/(-1*2) or x = (-5^(1/2)-1)/(-1*2)

x = (5^(1/2)-1)/(-2) or x = (5^(1/2)+1)/2

9*(x-((5^(1/2)-1)/(-2)))*(x-((5^(1/2)+1)/2)) = 0

(9*(x-((5^(1/2)-1)/(-2)))*(x-((5^(1/2)+1)/2)))/(x^2*(x+1)) = 0

(9*(x-((5^(1/2)-1)/(-2)))*(x-((5^(1/2)+1)/2)))/(x^2*(x+1)) = 0 // * x^2*(x+1)

9*(x-((5^(1/2)-1)/(-2)))*(x-((5^(1/2)+1)/2)) = 0

( x-((5^(1/2)+1)/2) )

x-((5^(1/2)+1)/2) = 0 // + (5^(1/2)+1)/2

x = (5^(1/2)+1)/2

( x-((5^(1/2)-1)/(-2)) )

x-((5^(1/2)-1)/(-2)) = 0 // + (5^(1/2)-1)/(-2)

x = (5^(1/2)-1)/(-2)

x in { (5^(1/2)+1)/2, (5^(1/2)-1)/(-2) }

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