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. 6x^2 + 51x + 105 = 0 ) ( II. 2y^2 + 25y + 78 = 0 )

  1. x > y

  2. x ≥ y

  3. x < y

  4. x ≤ y

  5. x = y or relationship between x and y cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For equation I: 6x² + 51x + 105 = 0 gives roots x = -3.5 and x = -5. For equation II: 2y² + 25y + 78 = 0 gives roots y = -6 and y = -6.5. Comparing values: when x = -3.5 (greater root), x > -6 and x > -6.5. When x = -5 (smaller root), x > -6 but x < -6.5. Since one value of x (-3.5) is greater than both y values, x > y is correct.

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