Multiple choice

In each of the following questions, two equations are given. You have to solve them and state the correct relationship-( (I) ) (x^2 + 24 = 10x) ( (II) ) (2y^2 + 18 = 12y)

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or relationship can not be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solve equation (I): x^2 - 10x + 24 = 0 factors as (x-4)(x-6) = 0, giving x = 4 or 6. Solve equation (II): 2y^2 - 12y + 18 = 0 simplifies to y^2 - 6y + 9 = 0, which factors as (y-3)^2 = 0, so y = 3 (repeated root). Since both values of x (4 and 6) are greater than y (3), the relationship is x > y.

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