(x-7/x)=(2/9)

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Solution for (x-7/x)=(2/9) equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(7/x) = 2/9 // - 2/9

x-(7/x)-(2/9) = 0

x-7*x^-1-2/9 = 0

1*x^1-7*x^-1-2/9*x^0 = 0

(1*x^2-2/9*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-2/9*x^1-7*x^0) = 0

x^1

x^2+(-2/9)*x-7 = 0

x^2+(-2/9)*x-7 = 0

DELTA = (-2/9)^2-(-7*1*4)

DELTA = 2272/81

DELTA > 0

x = ((2272/81)^(1/2)-(-2/9))/(1*2) or x = (-(-2/9)-(2272/81)^(1/2))/(1*2)

x = ((2272/81)^(1/2)+2/9)/2 or x = (2/9-(2272/81)^(1/2))/2

x in { (2/9-(2272/81)^(1/2))/2, ((2272/81)^(1/2)+2/9)/2} 

x in { (2/9-(2272/81)^(1/2))/2, ((2272/81)^(1/2)+2/9)/2 }

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