Question 68 of 161MediumNUMERICAL
The number of elements in the set \[\{ n \in Z:|{n^2} - 10n + 19| < 6\} \] is \_\_\_\_\_\_\_\_\_.
Answer: 6
Solutions · 1
Official solution
Given, ∣n2−10n+19∣0&n2−10n+130&n=210±100−52<0
⇒n∈Z−5
∴n∈[5−23,5+23]∴n∈[13,8.3]∴n=2,3,4,5,6,7,8
Thus, number of element in the set is ' 6 ' Answer the question to unlock