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laylac45531
08.11.2021 •
Mathematics
5 positive integers are arranged in ascending order, as follows: 2, 6, 6, 7, x The mode and the range are equal. Find x.
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Ответ:
1) k^2 +2k +1 = 25
k^2 + 2k -24 = 0
(k + 6)(k- 4) = 0
k + 6 = 0 ⇒ k = - 6
k - 4 = 0 ⇒ k = 4
2) k^2 + 2k + 1 = 64
k^2 + 2k - 63 = 0
(k + 9)(k - 7) = 0
k + 9 = 0 ⇒ k = -9
k - 7 = 0 ⇒ k = 7
Then the largest possible domain is {-9, -6, 4, 7}
You might exclude one from -6 and 4 but not both.
You might also exclude one from -9 and 7 but not both
Because with those sets you will obtain all the images that are in the range.