x+2/2=4/x

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Solution for x+2/2=4/x equation:


D( x )

x = 0

x = 0

x = 0

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

x+2/2 = 4/x // - 4/x

x-(4/x)+2/2 = 0

x-4*x^-1+2/2 = 0

1*x^1-4*x^-1+1*x^0 = 0

(1*x^2+1*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+1*x^1-4*x^0) = 0

x^1

x^2+x-4 = 0

x^2+x-4 = 0

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

DELTA = 17

DELTA > 0

x = (17^(1/2)-1)/(1*2) or x = (-17^(1/2)-1)/(1*2)

x = (17^(1/2)-1)/2 or x = (-(17^(1/2)+1))/2

x in { (-(17^(1/2)+1))/2, (17^(1/2)-1)/2}

x in { (-(17^(1/2)+1))/2, (17^(1/2)-1)/2 }

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