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