x-8=9/x

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Solution for x-8=9/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-8 = 9/x // - 9/x

x-(9/x)-8 = 0

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

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

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

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

x^1

x^2-8*x-9 = 0

x^2-8*x-9 = 0

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

DELTA = 100

DELTA > 0

x = (100^(1/2)+8)/(1*2) or x = (8-100^(1/2))/(1*2)

x = 9 or x = -1

x in { -1, 9} 

x in { -1, 9 }

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