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Given I. $x^{2} - 21 x + 110 = 0$
II. $y^{2} - 15 y + 50 = 0$ , 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 = 10

or 11;

y = 5

or 10. Every

x

is at least as large as every

y

(equal when both are 10), so

x

≥

y

.

Answer: A)

x

≥

y

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In the equations below, solve for x and y and choose the correct relation. I. x² − 14x +…What is the relation between x and y? I. 2x² − 13x + 21 = 0 II. y² − 5y + 6 = 0 Find the relation after solving: I. x² − 7x + 10 = 0 II. y² − 19y + 88 = 0 Compare the roots: I. x² = 64 II. y² − 16y + 64 = 0 Solve I. x² − 20x + 99 = 0 II. y² − 17y + 72 = 0, then choose the correct relation.