Question
If x 2 Β β 15x + 51 = 0, then determine the
value of (x β 5) + {1/(x β 5)}.Solution
Given, x 2 Β β 15x + 50 = -1
Or, x 2 Β β 10x β 5x + 50 = -1
Or, x(x β 10) β 5(x β 10) = -1
Or, (x β 10)(x β 5) = -1
Or, x β 10 = -1/(x β 5)
Or, (x β 5) β 5 = -1/(x β 5)
Or, (x β 5) + {1/(x β 5)} = 5
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