Question

x square + 1/x square +2 - 3x - 3/x

Answer 1

Step-by-step explanation:

That quadratic equation has 2 roots, which can be calculated using the quadratic formula: 3+5√2 and 3−5√2

And using the first root:

x2−3x+1=0⟹x2=3x−1=33+5√2−1=7+35√2

Then 1x2=27+35√=2(7−35√)49–45=7−35√2

Adding them together:

x2+1x2=7+35√2+7−35√2=7

(Note that you’d get the same result for each of the roots)

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