x=3+70/x

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Solution for x=3+70/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x = 70/x+3 // - 70/x+3

x-(70/x)-3 = 0

x-70*x^-1-3 = 0

1*x^1-70*x^-1-3*x^0 = 0

(1*x^2-3*x^1-70*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-3*x^1-70*x^0) = 0

x^1

x^2-3*x-70 = 0

x^2-3*x-70 = 0

DELTA = (-3)^2-(-70*1*4)

DELTA = 289

DELTA > 0

x = (289^(1/2)+3)/(1*2) or x = (3-289^(1/2))/(1*2)

x = 10 or x = -7

x in { -7, 10} 

x in { -7, 10 }

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