Practice30 Create account

If $x^{2} + 7 x + 12 = 0$ and $y^{2} + 3 y + 2 = 0$ , which statement about $x$ and $y$ holds?

Competition practiceQuadratic Comparison

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

Step-by-Step Solution

x^{2} + 7 x + 12 = (x + 3) (x + 4)

, so

x = - 3

or −4.

y^{2} + 3 y + 2 = (y + 1) (y + 2)

, so

y = - 1

or −2. Every

x

is less than every

y

, 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

Equation I: x² − 9x + 20 = 0. Equation II: y² − 13y + 42 = 0. Which relation between x…Solve both equations and compare x and y. I: x² − 17x + 72 = 0. II: y² − 6y + 8 = 0.I: x² − 23x + 132 = 0. II: y² − 21y + 110 = 0. Find how x and y are related.Solve both equations and compare x and y. I: x² − 12x + 32 = 0. II: y² − 6y + 8 = 0.Find the relation between x and y from I: x² − 17x + 72 = 0 and II: y² − 19y + 90 = 0.