Multiple choice

Directions: In the question, two equations numbered (I) and (II) are given. You have to solve both the equations and then mark the appropriate answer. (I) 15x2 + 7x - 2 = 0 (II) 20y2 – 13y + 2 = 0

  1. x = y or no relationship can be established between them.

  2. x > y

  3. x < y

  4. x ≥ y

  5. x ≤ y
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Factoring equation (I), 15x^2 + 7x - 2 = 0, we get 15x^2 + 10x - 3x - 2 = 0, which simplifies to (5x - 1)(3x + 2) = 0, yielding x = 1/5 and x = -2/3. Factoring equation (II), 20y^2 - 13y + 2 = 0, we get (5y - 2)(4y - 1) = 0, yielding y = 2/5 and y = 1/4. Comparing these fractions, 1/5 is less than 1/4, and -2/3 is less than 2/5, so every value of x is smaller than every value of y. Thus, x < y.

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