Multiple choice

Solve the equations given below and choose the answer from the given alternatives. 9x2 + 9 = 30x 12y2 – 9 = -33y

  1. x > y

  2. x < y

  3. x ≤ y

  4. x ≥ y

  5. x = y or no relation can be established.
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A Correct answer
Explanation

9x^2 - 30x + 9 = 0 => 3x^2 - 10x + 3 = 0 => (3x-1)(x-3) = 0. x = 1/3 or 3. 12y^2 + 33y - 9 = 0 => 4y^2 + 11y - 3 = 0 => (4y-1)(y+3) = 0. y = 1/4 or -3. Comparing values, x can be 3 or 1/3, y can be 0.25 or -3. In all cases, x > y.

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