Multiple choice

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer I. 5x² - 34x + 45 = 0 II. 4y² - 19y + 21 = 0

  1. if x < y

  2. if x ≤ y

  3. if x = y or no relation can be established

  4. if x > y

  5. if x ≥ y
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

For equation I, factoring 5x squared minus 34x plus 45 gives 5x squared minus 25x minus 9x plus 45, yielding roots x = 5 and x = 1.8. For equation II, factoring 4y squared minus 19y plus 21 gives 4y squared minus 12y minus 7y plus 21, yielding roots y = 3 and y = 1.75. Comparing the roots, x = 5 is greater than y = 3, but x = 1.8 is less than y = 3, meaning no consistent relationship can be established. Therefore, no relation can be established between x and y.

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