1/8x+1/9x=1/72-1/x

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Solution for 1/8x+1/9x=1/72-1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(1/8)*x+(1/9)*x = 1/72-(1/x) // - 1/72-(1/x)

(1/8)*x+(1/9)*x+1/x-(1/72) = 0

(1/8)*x+(1/9)*x+1/x-1/72 = 0

17/72*x^1+1*x^-1-1/72*x^0 = 0

(17/72*x^2-1/72*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(17/72*x^2-1/72*x^1+1*x^0) = 0

x^1

(17/72)*x^2+(-1/72)*x+1 = 0

(17/72)*x^2+(-1/72)*x+1 = 0

DELTA = (-1/72)^2-(1*4*(17/72))

DELTA = -4895/5184

DELTA < 0

x in { } 

x belongs to the empty set

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