Multiple choice

In each of these questions, two equations (a) and (b) are given. You have to solve both the equations and give answer. a) (x^2 - 35x + 306 = 0) b) (y^2 - 44y + 475 = 0)

  1. x > y

  2. x ≤ y

  3. x ≥ y

  4. x < y

  5. x = y or relationship between x and y can't be established
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solving x² - 35x + 306 = 0 gives x = 17 or 18 (since 17×18 = 306 and 17+18 = 35). Solving y² - 44y + 475 = 0 gives y = 19 or 25 (since 19×25 = 475 and 19+25 = 44). The maximum value of x is 18, while the minimum value of y is 19. Therefore, x < y for all possible values.

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