6/x=2/10+x

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Solution for 6/x=2/10+x equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x = x+2/10 // - x+2/10

6/x-x-(2/10) = 0

6/x-x-1/5 = 0

6*x^-1-1*x^1-1/5*x^0 = 0

(6*x^0-1*x^2-1/5*x^1)/(x^1) = 0 // * x^2

x^1*(6*x^0-1*x^2-1/5*x^1) = 0

x^1

(-1/5)*x-x^2+6 = 0

(-1/5)*x-x^2+6 = 0

DELTA = (-1/5)^2-(-1*4*6)

DELTA = 601/25

DELTA > 0

x = ((601/25)^(1/2)-(-1/5))/(-1*2) or x = (-(-1/5)-(601/25)^(1/2))/(-1*2)

x = ((601/25)^(1/2)+1/5)/(-2) or x = (1/5-(601/25)^(1/2))/(-2)

x in { ((601/25)^(1/2)+1/5)/(-2), (1/5-(601/25)^(1/2))/(-2)} 

x in { ((601/25)^(1/2)+1/5)/(-2), (1/5-(601/25)^(1/2))/(-2) }

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