SOLUTION: The sum of two numbers is 10. The smallest possible value of the sum of the square of the first number plus two times the second number is: (A)9 (B) 18 (C) 19 (D) 20 (E) 23

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Question 280524: The sum of two numbers is 10. The smallest possible value of the sum of the square
of the first number plus two times the second number is:
(A)9 (B) 18 (C) 19 (D) 20 (E) 23
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=10
a^2+2b=y
a^2-2a+20=y
vertex is 1,19
so the lowest is 19