4/9=x-2/x+5

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Solution for 4/9=x-2/x+5 equation:


D( x )

x = 0

x = 0

x = 0

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

4/9 = x-(2/x)+5 // - x-(2/x)+5

2/x-x+4/9-5 = 0

2*x^-1-1*x^1-41/9*x^0 = 0

(2*x^0-1*x^2-41/9*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-1*x^2-41/9*x^1) = 0

x^1

(-41/9)*x-x^2+2 = 0

(-41/9)*x-x^2+2 = 0

DELTA = (-41/9)^2-(-1*2*4)

DELTA = 2329/81

DELTA > 0

x = ((2329/81)^(1/2)-(-41/9))/(-1*2) or x = (-(-41/9)-(2329/81)^(1/2))/(-1*2)

x = ((2329/81)^(1/2)+41/9)/(-2) or x = (41/9-(2329/81)^(1/2))/(-2)

x in { ((2329/81)^(1/2)+41/9)/(-2), (41/9-(2329/81)^(1/2))/(-2)}

x in { ((2329/81)^(1/2)+41/9)/(-2), (41/9-(2329/81)^(1/2))/(-2) }

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