Multiple choice

In this question, two equations numbered I and II are given. You have to solve both the equations and mark the correct answer. I. x2 - 49 = 0 II. y2 - 9y + 20 = 0

  1. if x > y

  2. if x < y

  3. if x = y or no relationship can be established between 'x' and 'y'

  4. if x ≤ y

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

I: x^2 = 49 implies x = 7 or -7. II: y^2 - 9y + 20 = 0 factors to (y-4)(y-5) = 0, so y = 4 or 5. Comparing x and y values, sometimes x > y (7 > 4) and sometimes x < y (-7 < 4), so no relationship can be established.

AI explanation

Solving the first equation x2 - 49 = 0 gives the roots x = 7 and x = -7. Factorizing the second equation y2 - 9y + 20 = 0 yields the roots y = 4 and y = 5. When x = 7, it is greater than both values of y, but when x = -7, it is less than both values of y, meaning no consistent relationship can be established between x and y.

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