(x-2)^2/x-0.5

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Solution for (x-2)^2/x-0.5 equation: 


D( x )

x = 0

x = 0

x = 0

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

((x-2)^2)/x-0.5 = 0

((x-2)^2)/x+(-0.5*x)/x = 0

(x-2)^2-0.5*x = 0

x^2-4.5*x+4 = 0

x^2-4.5*x+4 = 0

x^2-4.5*x+4 = 0

DELTA = (-4.5)^2-(1*4*4)

DELTA = 4.5^2-16

DELTA = 4.25

DELTA > 0

x = ((4.5^2-16)^(1/2)+4.5)/(1*2) or x = (4.5-(4.5^2-16)^(1/2))/(1*2)

x = ((4.5^2-16)^(1/2)+4.5)/2 or x = (4.5-(4.5^2-16)^(1/2))/2

(x-((4.5-(4.5^2-16)^(1/2))/2))*(x-(((4.5^2-16)^(1/2)+4.5)/2)) = 0

((x-((4.5-(4.5^2-16)^(1/2))/2))*(x-(((4.5^2-16)^(1/2)+4.5)/2)))/x = 0

((x-((4.5-(4.5^2-16)^(1/2))/2))*(x-(((4.5^2-16)^(1/2)+4.5)/2)))/x = 0 // * x

(x-((4.5-(4.5^2-16)^(1/2))/2))*(x-(((4.5^2-16)^(1/2)+4.5)/2)) = 0

( x-(((4.5^2-16)^(1/2)+4.5)/2) )

x-(((4.5^2-16)^(1/2)+4.5)/2) = 0 // + ((4.5^2-16)^(1/2)+4.5)/2

x = ((4.5^2-16)^(1/2)+4.5)/2

( x-((4.5-(4.5^2-16)^(1/2))/2) )

x-((4.5-(4.5^2-16)^(1/2))/2) = 0 // + (4.5-(4.5^2-16)^(1/2))/2

x = (4.5-(4.5^2-16)^(1/2))/2

x in { ((4.5^2-16)^(1/2)+4.5)/2, (4.5-(4.5^2-16)^(1/2))/2 }

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