Find the roots of both equations and decide how $x$ compares with $y$ . I. $x^{2} + 9 x + 20 = 0$
II. $y^{2} + 11 y + 30 = 0$

Question

Find the roots of both equations and decide how x compares with y. I. x² + 9x + 20 = 0 II. y² + 11y + 30 = 0

Accepted Answer

x ≥ y. I: (x + 4)(x + 5) = 0, so x = −4 or −5. II: (y + 5)(y + 6) = 0, so y = −5 or −6. The smallest x (−5) equals the largest y (−5), so x ≥ y.

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