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If `(x^(2) - x - 1)^(x^(2) - 7x + 12) = 1` thenA. Positive integral solutions are `4`B. Negative integral solutions are `2`C. non positive integral solution are `2`D. Total integral solutions are `6` |
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Answer» Correct Answer - A::C::D `x^(2) - x- 1 = 1 rArr x^(2) - x- 2 = a` `(x - 2)(x + 1) = 0 rArr x = 2, -1` and `x^(2) - x- 1 = -1 rArr x = 0, 1` at `x = 0 rarr x^(2) - 7x + 12 = 12` `x = 1 rarr x^(2) - 7x + 12 = 6` and `x^(2) - 7x + 12 = 0 rArr x = 4, 3` so `x = {2, -1, 0, 1, 4, 3}` |
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