x+8/x=9

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Solution for x+8/x=9 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+8/x = 9 // - 9

x+8/x-9 = 0

1*x^1+8*x^-1-9*x^0 = 0

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

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

x^1

x^2-9*x+8 = 0

x^2-9*x+8 = 0

DELTA = (-9)^2-(1*4*8)

DELTA = 49

DELTA > 0

x = (49^(1/2)+9)/(1*2) or x = (9-49^(1/2))/(1*2)

x = 8 or x = 1

x in { 1, 8} 

x in { 1, 8 }

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