Multiple choice

Directions: In the following question, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly. (i) 7x2 + 17x + 10 = 0 (ii) 9y2 + 15y + 6 = 0

  1. x ≥ y

  2. x < y

  3. x ≤ y

  4. x > y

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

i) 7x^2 + 17x + 10 = 0 => (7x+10)(x+1) = 0 => x = -10/7, -1. ii) 9y^2 + 15y + 6 = 0 => 3(3y^2 + 5y + 2) = 0 => 3(3y+2)(y+1) = 0 => y = -2/3, -1. Comparing: -1.428 <= -0.66 and -1 <= -0.66. So x <= y.

AI explanation

Factoring equation I gives (7x + 10)(x + 1) = 0, so x = negative 10/7 or x = negative 1. Factoring equation II gives (3y + 2)(3y + 3) = 0, meaning y = negative 2/3 or y = negative 1. Comparing these values shows x is less than negative 2/3, equal to negative 1, and less than or equal to y, so x is less than or equal to y.

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