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Answer:
x = -2
Step-by-step explanation:
First notice that
( √3 + √2 )² = 3 + 2 + 2√6 = 5 + 2√6
which is almost what we need, but it's actually the conjugate. This suggests multiplying the two together, which gives
( 5 + 2√6 ) ( 5 - 2√6 ) = 5² - (2√6)² = 25 - 24 = 1.
Therefore
5 - 2√6 = ( 5 + 2√6 )⁻¹ = ( √3 + √2 )⁻²
and so x = -2.
Hope this helps you.
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