Multiple choice

In each of these questions, two equations (a) and (b) are given. You have to solve both the equations and choose the correct option. a) (x^2 - x - 20 = 0) b) (y^2 + y - 30 = 0)

  1. x > y

  2. x ≤ y

  3. x ≥ y

  4. x < y

  5. x = y or relationship between x and y can't be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solve equation (a): x² - x - 20 = 0 factors to (x-5)(x+4) = 0, so x = 5 or x = -4. Solve equation (b): y² + y - 30 = 0 factors to (y+6)(y-5) = 0, so y = -6 or y = 5. Comparing values: when x=5, y can be 5 (x=y) or -6 (x>y); when x=-4, y can be 5 (xy). Since we have x=y possible and also x>y and x

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