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) 6x2 + 13x - 169 = 0 b) y2 + 8y - 65 = 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

For equation (a): 6x²+13x-169=0 gives x=13/3≈4.33 or x=-13/2=-6.5. For equation (b): y²+8y-65=0 gives y=5 or y=-13. Since x can be 4.33 (less than y=5) or -6.5 (greater than y=-13), and y can be 5 or -13, the relationship between x and y depends on which specific roots are compared. Therefore, no consistent relationship can be established.

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