13/x=10-x

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Solution for 13/x=10-x equation:


D( x )

x = 0

x = 0

x = 0

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

13/x = 10-x // - 10-x

x+13/x-10 = 0

1*x^1+13*x^-1-10*x^0 = 0

(1*x^2-10*x^1+13*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-10*x^1+13*x^0) = 0

x^1

x^2-10*x+13 = 0

x^2-10*x+13 = 0

DELTA = (-10)^2-(1*4*13)

DELTA = 48

DELTA > 0

x = (48^(1/2)+10)/(1*2) or x = (10-48^(1/2))/(1*2)

x = (4*3^(1/2)+10)/2 or x = (10-4*3^(1/2))/2

x in { (10-4*3^(1/2))/2, (4*3^(1/2)+10)/2}

x in { (10-4*3^(1/2))/2, (4*3^(1/2)+10)/2 }

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