(5/-x-2)-(5/-2x-7)=(2/9)

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Solution for (5/-x-2)-(5/-2x-7)=(2/9) equation: 


D( x )

-x = 0

-x = 0

x = 0

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

5/(-x)-((5/(-2))*x)-2+7 = 2/9 // - 2/9

5/(-x)-((5/(-2))*x)-(2/9)-2+7 = 0

(5/2)*x+5/(-x)-2/9-2+7 = 0

5/2*x^1-5*x^-1+43/9*x^0 = 0

(5/2*x^2+43/9*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(5/2*x^2+43/9*x^1-5*x^0) = 0

x^1

(5/2)*x^2+(43/9)*x-5 = 0

(5/2)*x^2+(43/9)*x-5 = 0

DELTA = (43/9)^2-(-5*4*(5/2))

DELTA = 5899/81

DELTA > 0

x = ((5899/81)^(1/2)-(43/9))/(2*(5/2)) or x = (-(43/9)-(5899/81)^(1/2))/(2*(5/2))

x = ((5899/81)^(1/2)-43/9)/5 or x = (-((5899/81)^(1/2)+43/9))/5

x in { (-((5899/81)^(1/2)+43/9))/5, ((5899/81)^(1/2)-43/9)/5} 

x in { (-((5899/81)^(1/2)+43/9))/5, ((5899/81)^(1/2)-43/9)/5 }

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