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solution:- Given x + 1/x = 3 ---(1)
we know that , (a + b)² = a²+b²+2ab
so, similarly , (x + 1/x)² = x²+1/x² + 2*x*1/x
=> (x+1/x)² = x²+1/x²+2
=>( x+1/x)²-2 = x²+1/x²
=> 3² -2 =x²+1/x² (from 1)
=> 7 = x²+1/x²
hence , x²+1/x² = 7 Answer .
hope it's helpful.
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