Question

Find the maximum value of (x + 1) . (y + 5) if x + y = 12.​

Answer 1

Answer:

$x + y = 12 \\ x = 12 - y.........1 \\ (x + 1)(y + 5) = 0\\ from \: 1 \: equation \\ (12 - y + 1)(y + 5) = 0\\ (13 - y)(y + 5) = 0 \\ 13y + 65 - {y}^{2} - 5y = 0 \\ {y}^{2} - 13y + 5y - 65 = 0 \\ y(y - 13) + 5(y - 13) = 0 \\ (y + 5)(y - 13) = 0 \\ y = - 5 \\ y = 13$

Answer 2

Step-by-step explanation:

x + I+y+5. If x+y=12

x + y+6=12+6 = 18. Ans