Practice30 Create account

Compare the roots of I. $x^{2} - 5 x + 4 = 0$
II. $y^{2} - 13 y + 40 = 0$ . What is the relation between $x$ and $y$ ?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

x = 1

, 4. II:

(y - 5) (y - 8) = 0

→

y = 5

, 8. The largest

x

(4) is below the smallest

y

(5), so

x < y

.

Answer: A)

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

In the equations I. x² − 15x + 56 = 0 II. y² − 9y + 20 = 0, find the relation between x…Compare x and y after solving I. x² − 4x + 3 = 0 II. y² − 11y + 24 = 0.Given I. x² − 17x + 70 = 0 II. y² − 11y + 28 = 0, find the relation between x and y.Both equations have negative roots. Find them and compare x with y. I. 2x² + 15x + 28 =…Given I. 2x² − 11x + 15 = 0 II. y² − 9y + 20 = 0, which relation between x and y holds?