x-6=16/x

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Solution for x-6=16/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-6 = 16/x // - 16/x

x-(16/x)-6 = 0

x-16*x^-1-6 = 0

1*x^1-16*x^-1-6*x^0 = 0

(1*x^2-6*x^1-16*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-6*x^1-16*x^0) = 0

x^1

x^2-6*x-16 = 0

x^2-6*x-16 = 0

DELTA = (-6)^2-(-16*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+6)/(1*2) or x = (6-100^(1/2))/(1*2)

x = 8 or x = -2

x in { -2, 8} 

x in { -2, 8 }

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