Find the roots of each equation and pick the correct relation between $x$ and $y$ . I. $x^{2} - 11 x + 30 = 0$
II. $y^{2} - 13 y + 42 = 0$

Question

Find the roots of each equation and pick the correct relation between x and y. I. x² − 11x + 30 = 0 II. y² − 13y + 42 = 0

Accepted Answer

x ≤ y. I. (x − 5)(x − 6) = 0, so x = 5 or 6. II. (y − 6)(y − 7) = 0, so y = 6 or 7. Every x is at most every y (equal when both are 6), so x ≤ y.

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