Question
(m - 4) 2 + (n + 5) 2 + (p - 3) 2 = 0, then find the value of 2m + 3n - p.
Solution
If (m - 4) 2 + (n + 5) 2 + (p - 3) 2 = 0, then (m = 4), (n = -5), and (p = 3).
So,
- m - 4 = 0 β m = 4
- n + 5 = 0 β n = -5
- p - 3 = 0 β p = 3
Therefore, required value:
2(4) + 3(-5) - 3 = 8 - 15 - 3 = -10
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