x-10/x+21

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Solution for x-10/x+21 equation:


D( x )

x = 0

x = 0

x = 0

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

x-(10/x)+21 = 0

x-10*x^-1+21 = 0

1*x^1-10*x^-1+21*x^0 = 0

(1*x^2+21*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+21*x^1-10*x^0) = 0

x^1

x^2+21*x-10 = 0

x^2+21*x-10 = 0

DELTA = 21^2-(-10*1*4)

DELTA = 481

DELTA > 0

x = (481^(1/2)-21)/(1*2) or x = (-481^(1/2)-21)/(1*2)

x = (481^(1/2)-21)/2 or x = (-(481^(1/2)+21))/2

x in { (-(481^(1/2)+21))/2, (481^(1/2)-21)/2}

x in { (-(481^(1/2)+21))/2, (481^(1/2)-21)/2 }

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