Multiple choice

In each of the following questions, two equations are given. You have to solve them and answer the question.( (I) ) ( x^2 + 4.9x + 5.44 = 0 )( (II) ) ( y^2 + 2.8y + 1.95 =0 )

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

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

Solve x²+4.9x+5.44=0: discriminant = 24.01-21.76=2.25, roots = (-4.9±1.5)/2 = -1.7, -3.2. Solve y²+2.8y+1.95=0: discriminant = 7.84-7.8=0.04, roots = (-2.8±0.2)/2 = -1.3, -1.5. Both x values (-1.7, -3.2) are less than both y values (-1.3, -1.5), so x < y.

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