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Solve both and compare $x$ with $y$ : I. $x^{2} - 15 x + 56 = 0$
II. $y^{2} - 9 y + 18 = 0$

Competition practiceQuadratic Comparison

A $x < y$
B $x$ ≥ $y$
C $x$ ≤ $y$
D $x > y$

Step-by-Step Solution

I factorises as

(x - 7) (x - 8) = 0

, so

x = 7

or 8. II gives

(y - 3) (y - 6) = 0

, so

y = 3

or 6. Every

x

exceeds every

y

, so

x > y

.

Answer: D)

x > y

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