(10x)-(2/x)=1

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Solution for (10x)-(2/x)=1 equation: 


D( x )

x = 0

x = 0

x = 0

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

10*x-(2/x) = 1 // - 1

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

10*x-2*x^-1-1 = 0

10*x^1-2*x^-1-1*x^0 = 0

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

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

x^1

10*x^2-x-2 = 0

10*x^2-x-2 = 0

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

DELTA = 81

DELTA > 0

x = (81^(1/2)+1)/(2*10) or x = (1-81^(1/2))/(2*10)

x = 1/2 or x = -2/5

x in { -2/5, 1/2} 

x in { -2/5, 1/2 }

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