Multiple choice

In each of the following questions two equations (I) and (II) are given. Solve these equations and give the answer:\ (I) (3x^2 - 10x + 7 = 0)\ (II) (5y^2 - 8y + 3 = 0)

  1. If x < y

  2. If x > y

  3. If x ≥ y

  4. If x ≤ y

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

Equation I: 3x²-10x+7=0 factors as (3x-7)(x-1)=0, giving x=7/3≈2.33 or x=1. Equation II: 5y²-8y+3=0 factors as (5y-3)(y-1)=0, giving y=3/5=0.6 or y=1. Comparing all pairs: x=2.33,y=0.6 (x>y); x=2.33,y=1 (x>y); x=1,y=0.6 (x>y); x=1,y=1 (x=y). In all cases x ≥ y, so option C is correct.

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