(x+1/x)=3 the value of (x²+1/x²)
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( x + 1 / x ) = 3
Squaring both sides,
( x + 1 / x ) ^ 2 = 3 ^ 2
x ^ 2 + 1 / x ^ 2 + 2 * x * 1 /x = 9
x ^ 2 + 1 / x ^ 2 + 2 = 9
x ^ 2 + 1 / x ^ 2 = 9 -2
x ^ 2 + 1 / x ^ 2 = 7.
Squaring both sides,
( x + 1 / x ) ^ 2 = 3 ^ 2
x ^ 2 + 1 / x ^ 2 + 2 * x * 1 /x = 9
x ^ 2 + 1 / x ^ 2 + 2 = 9
x ^ 2 + 1 / x ^ 2 = 9 -2
x ^ 2 + 1 / x ^ 2 = 7.
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