x-2/x=7/9

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 697/81

DELTA > 0

x = ((697/81)^(1/2)-(-7/9))/(1*2) or x = (-(-7/9)-(697/81)^(1/2))/(1*2)

x = ((697/81)^(1/2)+7/9)/2 or x = (7/9-(697/81)^(1/2))/2

x in { (7/9-(697/81)^(1/2))/2, ((697/81)^(1/2)+7/9)/2} 

x in { (7/9-(697/81)^(1/2))/2, ((697/81)^(1/2)+7/9)/2 }

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