Multiple choice

-3 is one of the roots of the equation 4x2 - 6x + c = 0, where c is constant. Quantity A c Quantity B -50

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Substitute x = -3 into 4x^2 - 6x + c = 0 to get 4(9) - 6(-3) + c = 0, which is 36 + 18 + c = 0, so c = -54. Since -54 < -50, Quantity B is greater.