Multiple choice

In each of the following questions (I) and (II) equations are given. You have to solve them and Give answer- (I) (x^{2} - 49x + 45 = 0) (II) (4y^{2} + 3y - 1 = 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 determined
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A Correct answer
Explanation

(I) x²-49x+45=0 gives roots x = (49±√(2401-180))/2 = (49±√2201)/2 ≈ 0.93 and 48.07. (II) 4y²+3y-1=0 factors to (4y-1)(y+1)=0, so y=1/4 or y=-1. The positive root of (I) is 48.07, which is greater than the positive root of (II) which is 0.25. So x > y.

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