8/x=x-2

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Solution for 8/x=x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

8/x = x-2 // - x-2

8/x-x+2 = 0

8*x^-1-1*x^1+2*x^0 = 0

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

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

x^1

2*x-x^2+8 = 0

2*x-x^2+8 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)-2)/(-1*2) or x = (-36^(1/2)-2)/(-1*2)

x = -2 or x = 4

x in { -2, 4} 

x in { -2, 4 }

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