x-13=48/x

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Solution for x-13=48/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-13 = 48/x // - 48/x

x-(48/x)-13 = 0

x-48*x^-1-13 = 0

1*x^1-48*x^-1-13*x^0 = 0

(1*x^2-13*x^1-48*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-13*x^1-48*x^0) = 0

x^1

x^2-13*x-48 = 0

x^2-13*x-48 = 0

DELTA = (-13)^2-(-48*1*4)

DELTA = 361

DELTA > 0

x = (361^(1/2)+13)/(1*2) or x = (13-361^(1/2))/(1*2)

x = 16 or x = -3

x in { -3, 16} 

x in { -3, 16 }

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