9x/x^2-1/2x-8/9x+9

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Solution for 9x/x^2-1/2x-8/9x+9 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)

(9*x)/(x^2)-((1/2)*x)-((8/9)*x)+9 = 0

(-1/2)*x+(-8/9)*x+(9*x)/(x^2)+9 = 0

9*x^-1-25/18*x^1+9*x^0 = 0

(9*x^1-25/18*x^2+9*x^0)/(x^1) = 0 // * x^2

x^1*(9*x^1-25/18*x^2+9*x^0) = 0

x^1

(-25/18)*x^2+9*x+9 = 0

(-25/18)*x^2+9*x+9 = 0

DELTA = 9^2-(4*9*(-25/18))

DELTA = 131

DELTA > 0

x = (131^(1/2)-9)/(2*(-25/18)) or x = (-131^(1/2)-9)/(2*(-25/18))

x = -9/25*(131^(1/2)-9) or x = 9/25*(131^(1/2)+9)

x in { -9/25*(131^(1/2)-9), 9/25*(131^(1/2)+9)} 

x in { -9/25*(131^(1/2)-9), 9/25*(131^(1/2)+9) }

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