13-30/x=x

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Solution for 13-30/x=x equation: 


D( x )

x = 0

x = 0

x = 0

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

13-(30/x) = x // - x

13-x-(30/x) = 0

13-x-30*x^-1 = 0

13*x^0-1*x^1-30*x^-1 = 0

(13*x^1-1*x^2-30*x^0)/(x^1) = 0 // * x^2

x^1*(13*x^1-1*x^2-30*x^0) = 0

x^1

13*x-x^2-30 = 0

13*x-x^2-30 = 0

DELTA = 13^2-(-30*(-1)*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-13)/(-1*2) or x = (-49^(1/2)-13)/(-1*2)

x = 3 or x = 10

x in { 3, 10} 

x in { 3, 10 }

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