Multiple choice

Directions: In the given question, two equations are given. You have to solve both the equations and mark the correct option. (i) A2 + 50A + 610 = 1 (ii) B2 + 37B + 341 = 1

  1. A < B

  2. A > B

  3. A ≥ B

  4. A ≤ B

  5. Relationship between A and B cannot be established.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A^2 + 50A + 609 = 0. (A+21)(A+29) = 0. A = -21, -29. B^2 + 37B + 340 = 0. (B+17)(B+20) = 0. B = -17, -20. In all cases, A < B.

AI explanation

Solving the first equation yields A2 + 50A + 609 = 0, which factors into (A + 21)(A + 29) = 0, giving roots A = -21 and A = -29. The second equation becomes B2 + 37B + 340 = 0, which factors into (B + 20)(B + 17) = 0, giving roots B = -20 and B = -17. Comparing the values, both possible values of A (-21 and -29) are strictly less than both possible values of B (-20 and -17), establishing the relationship A < B.

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