Multiple choice

Find the value of m for which the equation 4z² + (3m - 3)x + (2m - 1) = 0 has real and equal roots 0? A. 5 B. -5 C. 5 , 5/9 D. Can not be determined E .None of these

  1. E

  2. C

  3. D

  4. A

  5. B
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

For the given quadratic equation to have real and equal roots, the discriminant (b^2 - 4ac) must be zero. Applying this condition to 4z^2 + (3m - 3)x + (2m - 1) = 0 yields the equation (3m - 3)^2 - 4(4)(2m - 1) = 0. Expanding and simplifying this gives 9m^2 - 26m + 25 = 0, and solving this quadratic equation provides the possible values for m as 5 and 5/9.

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