35x-24=35/x

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Solution for 35x-24=35/x equation: 


D( x )

x = 0

x = 0

x = 0

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

35*x-24 = 35/x // - 35/x

35*x-(35/x)-24 = 0

35*x-35*x^-1-24 = 0

35*x^1-35*x^-1-24*x^0 = 0

(35*x^2-24*x^1-35*x^0)/(x^1) = 0 // * x^2

x^1*(35*x^2-24*x^1-35*x^0) = 0

x^1

35*x^2-24*x-35 = 0

35*x^2-24*x-35 = 0

DELTA = (-24)^2-(-35*4*35)

DELTA = 5476

DELTA > 0

x = (5476^(1/2)+24)/(2*35) or x = (24-5476^(1/2))/(2*35)

x = 7/5 or x = -5/7

x in { -5/7, 7/5} 

x in { -5/7, 7/5 }

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