x+9/x-6+1=15/x-6

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Solution for x+9/x-6+1=15/x-6 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+9/x-6+1 = 15/x-6 // - 15/x-6

x+9/x-(15/x)-6+1+6 = 0

x+9/x-15*x^-1-6+1+6 = 0

1*x^1-6*x^-1+1*x^0 = 0

(1*x^2+1*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+1*x^1-6*x^0) = 0

x^1

x^2+x-6 = 0

x^2+x-6 = 0

DELTA = 1^2-(-6*1*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-1)/(1*2) or x = (-25^(1/2)-1)/(1*2)

x = 2 or x = -3

x in { -3, 2} 

x in { -3, 2 }

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