Find the roots of both equations and state how $x$ and $y$ compare. I. $x^{2} - 11 x + 30 = 0$
II. $y^{2} - 7 y + 10 = 0$

Question

Find the roots of both equations and state how x and y compare. I. x² − 11x + 30 = 0 II. y² − 7y + 10 = 0

Accepted Answer

x ≥ y. I: (x − 5)(x − 6) = 0, so x = 5 or 6. II: (y − 2)(y − 5) = 0, so y = 2 or 5. Every x is at least every y, and x = y = 5 is possible, so x ≥ y.

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