Practice30 Create account

Solve both equations and choose the correct relation. I. $x^{2} - 15 x + 56 = 0$
II. $y^{2} - 13 y + 42 = 0$

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

I:

(x - 7) (x - 8) = 0

gives

x = 7

or 8. II:

(y - 6) (y - 7) = 0

gives

y = 6

or 7. Smallest

x

(7) is >= largest

y

(7), so

x >= y

in every case.

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

Solve both equations and choose the correct relation. I. x^2 - 7x + 12 = 0 II. y^2 - 9y…Solve both equations and choose the correct relation. I. x^2 - 11x + 30 = 0 II. y^2 - 7y…Solve both equations and choose the correct relation. I. x^2 + 9x + 20 = 0 II. y^2 - 4 = 0 Solve I. x² − 16x + 64 = 0 II. y² − 18y + 80 = 0, then choose the relation between x and…Solve the two equations and choose the relation. I. x² − 11x + 30 = 0 II. y² − 15y + 56…