x-13=30/x

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Solution for x-13=30/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-13 = 30/x // - 30/x

x-(30/x)-13 = 0

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

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

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

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

x^1

x^2-13*x-30 = 0

x^2-13*x-30 = 0

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

DELTA = 289

DELTA > 0

x = (289^(1/2)+13)/(1*2) or x = (13-289^(1/2))/(1*2)

x = 15 or x = -2

x in { -2, 15} 

x in { -2, 15 }

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