If a² + 4b² + 25c² + 18 = 2(a + 2b + 20c), then what is the value of (a + 2b + 5c)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 4
If a² + 4b² + 25c² + 18 = 2(a + 2b + 20c)
(a - 1)2 + (2b - 1)2 + ( 5c -2)2 = 0
Then a = 1
b = 1/2
c = 2/5
The value (a + 2b + 5c) = 1 + 2 * ½ + 5 * (2/5) = 4