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The number of real roots of `x^(8) - x^(5) + x^(2) - x + 1 = 0` is |
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Answer» Correct Answer - `0` `(1)` when `x lt 0 rArr` expression `gt 0` `(2)` when `x = 0 rArr` expression `= 1 gt 0` `(3)` when `0 lt x lt x^(8) + x^(2) (1 - x^(3)) + (1 - x) gt 0` `(4) x = 1, 1-1 + 1 - 1 + 1 gt 0` `(5) x gt 1, x^(5)(x^(3) - 1) + x( x - 1) + 1 gt 0` so `x^(8) - x^(5) + x^(2) - x + 1 gt 0, cancelAAx in R` so on real roots |
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