Multiple choice

Directions: In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer according to these codes: (a) If x > y (b) If x ≥ y (c) If x < y (d) If x ≤ y (e) If x = y or no relation can be established between x and y I. x(x + 4) = 5 II. y(y - 10) = -16

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

I: x^2 + 4x - 5 = 0 => (x+5)(x-1) = 0 => x = 1, -5. II: y^2 - 10y + 16 = 0 => (y-8)(y-2) = 0 => y = 8, 2. Comparing values: 1 < 8, 1 < 2, -5 < 8, -5 < 2. Thus x < y.

AI explanation

Expanding both equations gives x squared plus four x minus five equals zero and y squared minus ten y plus sixteen equals zero. By factoring, the roots for x are one and negative five, while the roots for y are two and eight. Since both values of y are greater than both values of x, x is less than y.

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