x-18=-16/x

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Solution for x-18=-16/x equation:


D( x )

x = 0

x = 0

x = 0

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

x-18 = -16/x // + -16/x

x-(-16/x)-18 = 0

x+16*x^-1-18 = 0

1*x^1+16*x^-1-18*x^0 = 0

(1*x^2-18*x^1+16*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-18*x^1+16*x^0) = 0

x^1

x^2-18*x+16 = 0

x^2-18*x+16 = 0

DELTA = (-18)^2-(1*4*16)

DELTA = 260

DELTA > 0

x = (260^(1/2)+18)/(1*2) or x = (18-260^(1/2))/(1*2)

x = (2*65^(1/2)+18)/2 or x = (18-2*65^(1/2))/2

x in { (18-2*65^(1/2))/2, (2*65^(1/2)+18)/2}

x in { (18-2*65^(1/2))/2, (2*65^(1/2)+18)/2 }

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