Practice30 Create account

Given I. $x^{2} - 13 x + 42 = 0$
II. $y^{2} - 15 y + 56 = 0$ , how are $x$ and $y$ related?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I.

(x - 6) (x - 7) = 0

, so

x = 6

or 7. II.

(y - 7) (y - 8) = 0

, so

y = 7

or 8. The largest

x

(7) equals the smallest

y

(7), 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

Choose the correct relation after solving I. x² − 2x − 15 = 0 II. y² + 7y + 12 = 0.Solve the two equations and determine the relation between x and y. I. x² − 5x + 6 = 0…Solve the two equations and determine the relation between x and y. I. x² − 7x + 10 = 0…Two quadratic equations are given: I. x² − 9x + 14 = 0 II. y² − 17y + 72 = 0. Which…Solve the two equations and choose the correct relation. I. x² + 2x − 15 = 0 II. y² − 9y…