8/x-3/x-1=x/9-7/9

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Solution for 8/x-3/x-1=x/9-7/9 equation: 


D( x )

x = 0

x = 0

x = 0

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

8/x-(3/x)-1 = x/9-(7/9) // - x/9-(7/9)

8/x-(x/9)-(3/x)+7/9-1 = 0

8/x-(x/9)-3*x^-1+7/9-1 = 0

5*x^-1-1/9*x^1-2/9*x^0 = 0

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

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

x^1

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

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

DELTA = (-2/9)^2-(4*5*(-1/9))

DELTA = 184/81

DELTA > 0

x = ((184/81)^(1/2)-(-2/9))/(2*(-1/9)) or x = (-(-2/9)-(184/81)^(1/2))/(2*(-1/9))

x = -9/2*((184/81)^(1/2)+2/9) or x = -9/2*(2/9-(184/81)^(1/2))

x in { -9/2*((184/81)^(1/2)+2/9), -9/2*(2/9-(184/81)^(1/2))} 

x in { -9/2*((184/81)^(1/2)+2/9), -9/2*(2/9-(184/81)^(1/2)) }

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