Multiple choice

In each of the following questions, two equations (\bf{(I)}) and (\bf{(II)}) are given. You have to solve them and Give answer: (\bf{(I)}) (4x^2 + 9 - 12x = 0) (\bf{(II)}) (64y^2 - 80y + 25 = 0)

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x=y or relationship cannot be established
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A Correct answer
Explanation

Solve (I): 4x²+9-12x=0 rearranges to 4x²-12x+9=0, which is (2x-3)²=0, so x=1.5 (repeated root). Solve (II): 64y²-80y+25=0 is (8y-5)²=0, so y=0.625 (repeated root). Since 1.5 > 0.625, x>y.

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