Multiple choice

Solve the following quadratic equations and choose the correct answer accordingly. I. x2 - 16 = 0 II. y2 + 11y + 30 = 0

  1. x > y

  2. x < y

  3. x ≤ y

  4. x ≥ y

  5. x = y or No relation can be established.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

From I, x^2 = 16 implies x = 4 or -4. From II, y^2 + 11y + 30 = 0 factors to (y + 5)(y + 6) = 0, so y = -5 or -6. Comparing values, 4 > -5, 4 > -6, -4 > -5, and -4 > -6. Thus, x > y.

AI explanation

The first equation x2 - 16 = 0 is a difference of squares, factoring to (x - 4)(x + 4) = 0 and yielding roots of 4 and -4. The second equation y2 + 11y + 30 = 0 factors into (y + 5)(y + 6) = 0, which gives roots of -5 and -6. Because the maximum value of x (which is 4) is greater than the maximum value of y (which is -5), the relation x > y holds true.

Keep practicing — related questions