Given the equations I. x² + 5x + 6 = 0 and II. y² + 9y + 14 = 0, what can be concluded about the relationship between the values of x and y?

Show Answers

x is less than yx is greater than yx is less than or equal to yx equals y or no definite relationship can be determined

Explanation

Solving equation I: x² + 5x + 6 = 0 factors as (x + 3)(x + 2) = 0, so x = -3 or -2. Solving equation II: y² + 9y + 14 = 0 factors as (y + 7)(y + 2) = 0, so y = -7 or -2. Since x and y share the value -2 but also have different values, no clear relationship between x and y can be definitively established.