Practice30 Create account

Work out both roots and compare: I. $x^{2} - 35 x + 306 = 0$ .
II. $y^{2} - 31 y + 240 = 0$ .

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 17) (x - 18) = 0

→

x = 17

, 18. II:

(y - 15) (y - 16) = 0

→

y = 15

, 16. Every

x

exceeds every

y

, so

x > y

.

Answer: B)

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

Compare x and y given I. x² − 15x + 54 = 0 II. y² − 21y + 108 = 0.Solve both and compare x with y: I. x² − 15x + 56 = 0 II. y² − 9y + 18 = 0 Two quadratic equations are given: I. x² − 7x + 10 = 0 II. y² − 13y + 42 = 0. How are x…I. x² − 27x + 182 = 0 II. y² − 25y + 156 = 0. Which relation between x and y is correct?In the two equations below, find the relation between x and y. I. x² − 8x + 15 = 0 II.…