Multiple choice

In each of the following question two equations (I) and (II) are given. You have to solve them and ( (I) ) ( x^2 + x = 56 ) ( (II) ) ( y^2 - 17y + 72 = 0 )

  1. If x < y

  2. If x > y

  3. If x ≤ y

  4. If x ≥ y

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

Solve equation (I): x²+x-56=0 gives x=(−1±√(1+224))/2=(−1±15)/2, so x=7 or x=−8. Solve equation (II): y²−17y+72=0 gives y=(17±√(289−288))/2=(17±1)/2, so y=9 or y=8. Comparing the positive roots: x=7 is less than both y=8 and y=9. So x

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