Both equations have negative roots: I. 2x² + 9x + 10 = 0 II. y² + 3y + 2 = 0. What is the relation between x and y?

Question

Accepted Answer

x ≤ y. I: (2x + 5)(x + 2) = 0 → x = −2, −2.5. II: (y + 1)(y + 2) = 0 → y = −1, −2. The largest x (−2) equals the smallest y (−2), so x ≤ y.

Both equations have negative roots: I. $2 x^{2} + 9 x + 10 = 0$
II. $y^{2} + 3 y + 2 = 0$ . What is the relation between $x$ and $y$ ?