Compare the roots of the two equations. I. $x^{2} - 13 x + 36 = 0$
II. $y^{2} - 21 y + 108 = 0$ . Which relation between $x$ and $y$ holds?

Question

Compare the roots of the two equations. I. x² − 13x + 36 = 0 II. y² − 21y + 108 = 0. Which relation between x and y holds?

Accepted Answer

x ≤ y. I: (x − 4)(x − 9) = 0, so x = 4 or 9. II: (y − 9)(y − 12) = 0, so y = 9 or 12. The largest x (9) equals the smallest y (9), so x ≤ y.

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