SOLUTION: Find the maximum sum of 2 numbers given that the first plus the square of the second is equal to 30?

SOLUTION: Find the maximum sum of 2 numbers given that the first plus the square of the second is equal to 30?

Algebra.Com

Question 551836: Find the maximum sum of 2 numbers given that the first plus the square of the second is equal to 30?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
We want to maximize

given that

. We can let a = 30 - b^2, so we want to maximize

Recall that the max/min of a quadratic function ax^2 + bx + c occurs at x = -b/2a. In this case, the maximum occurs at b = 1/2, which implies a = 119/4. Therefore a+b = 121/4.
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