12x4square-56xquv+89xsquare-56x+12
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here is the answer....,,,
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12(x^2 + 1/x^2) - 56(x+1/x)+89 = 0
Now subtract 12(x+1/x)^2 from both sides and simplify
- 56(x+1/x)+65 = -12(x+1/x)^2
Let u=x+1/x and you now have the quadratic equation
12u^2 - 56u + 65 = 0
(2u-5)(6u-13) = 0
u=5/2 or u=13/6
x+1/x=5/2 gives x=2 or x=1/2 and
x+1/x = 13/6 gives x=3/2 or x=2/3.
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