x-3=10/x

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Solution for x-3=10/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-3 = 10/x // - 10/x

x-(10/x)-3 = 0

x-10*x^-1-3 = 0

1*x^1-10*x^-1-3*x^0 = 0

(1*x^2-3*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-3*x^1-10*x^0) = 0

x^1

x^2-3*x-10 = 0

x^2-3*x-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)

x = 5 or x = -2

x in { -2, 5} 

x in { -2, 5 }

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