7/x-1/6=x

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Solution for 7/x-1/6=x equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x-(1/6) = x // - x

7/x-x-(1/6) = 0

7/x-x-1/6 = 0

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

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

x^1*(7*x^0-1*x^2-1/6*x^1) = 0

x^1

(-1/6)*x-x^2+7 = 0

(-1/6)*x-x^2+7 = 0

DELTA = (-1/6)^2-(-1*4*7)

DELTA = 1009/36

DELTA > 0

x = ((1009/36)^(1/2)-(-1/6))/(-1*2) or x = (-(-1/6)-(1009/36)^(1/2))/(-1*2)

x = ((1009/36)^(1/2)+1/6)/(-2) or x = (1/6-(1009/36)^(1/2))/(-2)

x in { ((1009/36)^(1/2)+1/6)/(-2), (1/6-(1009/36)^(1/2))/(-2)} 

x in { ((1009/36)^(1/2)+1/6)/(-2), (1/6-(1009/36)^(1/2))/(-2) }

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