Multiple choice

Directions: In the following question, two equations (i) and (ii) are given. You have to solve both the equations and mark the correct option accordingly. (i) x2 - 9x + 20 = 0 (ii) 2y2 + y - 3 = 0

  1. x > y

  2. x ≥ y

  3. x < y

  4. x ≤ y

  5. x = y, or no relation can be established between x and y.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solving (i): x^2 - 9x + 20 = 0 -> (x-4)(x-5)=0, so x=4 or 5. Solving (ii): 2y^2 + y - 3 = 0 -> (2y+3)(y-1)=0, so y=1 or -1.5. In all cases, x > y.

AI explanation

Factor the first quadratic equation as (x - 4)(x - 5) = 0, which yields the positive roots x = 4 and x = 5. For the second equation, splitting the middle term gives (2y + 3)(y - 1) = 0, resulting in y = -1.5 and y = 1. Comparing the roots shows that every value of x is greater than every value of y, so x > y.

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