Multiple choice

If the product of the roots of the equation (m - 1)x2 + 6x + (2m - 1) = 0 is 3, the value of m is

  1. 0

  2. 1

  3. 2

  4. -7

  5. 6
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C Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the product of roots is c/a. Here, (2m - 1) / (m - 1) = 3. 2m - 1 = 3m - 3. m = 2.

AI explanation

Using the formula for the product of the roots of a quadratic equation, the product equals the constant term divided by the leading coefficient, which gives (2m - 1) / (m - 1) = 3. Multiplying both sides by (m - 1) yields 2m - 1 = 3m - 3. Solving this linear equation gives m = 2.

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