Multiple choice

In each question two equations numbered I and II are given, you have to solve both the equation and choose the correct answer. $I. (14x^2 + 77x - 91 = 0)$ $II. (y^2 = y)$

  1. X > Y

  2. X < Y

  3. X ≤ Y

  4. X ≥ Y

  5. X = Y or the relationship can’t be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Equation I: 14x² + 77x - 91 = 0 factors to 7(2x - 1)(x + 13) = 0, giving x = 1/2 or x = -13/2. Equation II: y² = y means y(y - 1) = 0, giving y = 0 or y = 1. When x = 0.5, x < y for y=1 and x > y for y=0. When x = -6.5, x < y for both y=0 and y=1. The relationship is inconsistent, so E is correct.

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