Question
If x2 – 5x + 1 = 0, then find the value of
{x2 + (1/x2)}.Solution
Since, x2 – 5x + 1 = 0 So, x2 + 1 = 5x Dividing each term by ‘x’, we get Or, x + (1/x) = 5 Squaring both sides, we get (x + 1/x)2 = 52 = 25 Or, x2 + (1/x2) + 2 = 25 Or, x2 + (1/x2) = 23
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