Solution:
m² - 10m + 16 > 0
(m - 8)(m - 2) > 0
m - 8 > 0, m - 2 > 0
m = 8, m = 2
Substitute:
m = 8
(8)² - 10(8) + 16 > 0
64 - 80 + 16 > 0
-14 + 16 > 0
2 > 0
True
m = 2
(2)² - 10(2) + 16 > 0
4 - 20 + 16 > 0
-16 + 16 > 0
0 > 0
False
Answer:
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Answers & Comments
Solution:
m² - 10m + 16 > 0
(m - 8)(m - 2) > 0
m - 8 > 0, m - 2 > 0
m = 8, m = 2
Substitute:
m = 8
(8)² - 10(8) + 16 > 0
64 - 80 + 16 > 0
-14 + 16 > 0
2 > 0
True
m = 2
(2)² - 10(2) + 16 > 0
4 - 20 + 16 > 0
-16 + 16 > 0
0 > 0
False
Answer:
m = 2