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Work out the roots of I. $x^{2} - 20 x + 99 = 0$
II. $y^{2} - 15 y + 54 = 0$ . Which relation between $x$ and $y$ is correct?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x = 9

or 11 and

y = 6

or 9. Every

x

is at least every

y

, with equality at 9, so

x

≥

y

.

Answer: A)

x

≥

y

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