Multiple choice

In each of these questions, two equations (I) and (II) are given. You have to solve both equations to give the answer: ( (I) x^2 – 4x - 165 = 0 ) ( (II) y^2 + 28y + 192 = 0 )

  1. If x < y

  2. If x > y

  3. If x ≥ y

  4. If x ≤ y

  5. If x = y or no relationship can be established between x and y.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Equation (I): x² - 4x - 165 = 0 factors to (x-15)(x+11)=0, so x = 15 or -11. Equation (II): y² + 28y + 192 = 0 factors to (y+16)(y+12)=0, so y = -16 or -12. Comparing: 15 > -16, 15 > -12, -11 > -16, -11 > -12. In all cases, x > y.

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