Multiple choice general knowledge math & puzzles

If (x + 2) 2 = 9 and (y + 3) 2 = 25, then the maximum value of x / y is

  1. 1/2

  2. 5/2

  3. 5/8

  4. 1/8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From (x+2)²=9, we get x=1 or x=-5. From (y+3)²=25, we get y=2 or y=-8. For maximum x/y: use largest positive x (1) and smallest positive y (2), giving 1/2. Wait - check negative combinations: (-5)/(-8)=5/8 is the maximum.

AI explanation

From (x+2)^2=9, x+2=±3 so x=1 or x=-5. From (y+3)^2=25, y+3=±5 so y=2 or y=-8. Checking all four combinations of x/y, the largest value comes from x=-5 and y=-8: (-5)/(-8) = 5/8, which is greater than any of the other combinations (0.5, -0.125, -2.5).

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