Multiple choice

If the sum of the roots of the equation ( p x2 - 39x + 15 = 0 ) is 13, then what is the product of the roots?

  1. 6

  2. 5

  3. 13/2

  4. Can't be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the sum of roots is -b/a and the product of roots is c/a. Here, sum = 39/p = 13, so p = 3. The equation is 3x^2 - 39x + 15 = 0. Product of roots = 15/3 = 5.

AI explanation

For the quadratic equation px2 - 39x + 15 = 0, the sum of the roots is given by -b/a, so the sum is 39/p. We are given that the sum is 13, so 39/p = 13, which means p = 3. The product of the roots is given by c/a. Substituting p = 3, the product of the roots is 15/3. The product is 5.

Keep practicing — related questions