x-5/x=4/9

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Solution for x-5/x=4/9 equation:


D( x )

x = 0

x = 0

x = 0

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

x-(5/x) = 4/9 // - 4/9

x-(5/x)-(4/9) = 0

x-5*x^-1-4/9 = 0

1*x^1-5*x^-1-4/9*x^0 = 0

(1*x^2-4/9*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-4/9*x^1-5*x^0) = 0

x^1

x^2+(-4/9)*x-5 = 0

x^2+(-4/9)*x-5 = 0

DELTA = (-4/9)^2-(-5*1*4)

DELTA = 1636/81

DELTA > 0

x = ((1636/81)^(1/2)-(-4/9))/(1*2) or x = (-(-4/9)-(1636/81)^(1/2))/(1*2)

x = ((1636/81)^(1/2)+4/9)/2 or x = (4/9-(1636/81)^(1/2))/2

x in { (4/9-(1636/81)^(1/2))/2, ((1636/81)^(1/2)+4/9)/2}

x in { (4/9-(1636/81)^(1/2))/2, ((1636/81)^(1/2)+4/9)/2 }

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