Multiple choice

Directions: In the given question, two equations, labeled (I) and (II) are given. You have to solve both the equations and give answer. (I) 7x2 + 6 = 23x (II) 19y2 + 29y + 10 = 0

  1. x > y

  2. x < y

  3. x ≥ y

  4. x ≤ y

  5. x = y or there is no relation between 'x' and 'y'
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

I: 7x^2-23x+6=0 -> (7x-2)(x-3)=0, x=2/7, 3. II: 19y^2+29y+10=0 -> (19y+10)(y+1)=0, y=-10/19, -1. Comparing roots, x > y.

AI explanation

Factoring the first equation, 7x2 minus 23x plus 6 equals zero, yields (7x minus 2)(x minus 3) equals zero, giving the roots x equals 3 and x equals 2 divided by 7. Factoring the second equation, 19y2 plus 29y plus 10 equals zero, gives (19y plus 10)(y plus 1) equals zero, resulting in the roots y equals minus 1 and y equals minus 10 divided by 19. Comparing these roots, the smallest value of x (2 divided by 7) is greater than the largest value of y (minus 10 divided by 19), so x is greater than y.

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