Practice30 Create account

If I. $x^{2} - 21 x + 110 = 0$
II. $y^{2} - 17 y + 72 = 0$ , how do $x$ and $y$ compare?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 10) (x - 11) = 0

, so

x = 10

or 11. II:

(y - 8) (y - 9) = 0

, so

y = 8

or 9. The smallest

x

(10) exceeds the largest

y

(9), so

x > y

.

Answer: D)

x > y

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Quadratic Comparison practice questions

More Quadratic Comparison practice

Given I. x² + 3x − 10 = 0 II. y² − 7y + 12 = 0, what is the relation between x and y?Determine the relation between x and y from: I. 2x² − 7x + 6 = 0 II. y² − 6y + 9 = 0 Solve the pair and pick the correct relation: I. x² − 3x − 10 = 0 II. y² − 13y + 42 = 0 In the equations below, find the relation between x and y. I. x² − 16x + 63 = 0 II. y² −…For I. x² − 23x + 132 = 0 II. y² − 9y + 20 = 0, choose the correct relation between x…