Multiple choice

The product of the roots of the quadratic equation $2x^{2}+5x-7=0$ is

  1. $\dfrac {5}{2}$
  2. $-\dfrac {7}{2}$
  3. $-\dfrac {5}{2}$
  4. $\dfrac {7}{2}$
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B Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the product of roots is c/a. Here, c = -7 and a = 2, so the product is -7/2.

AI explanation

For any quadratic equation of the form ax^2 + bx + c = 0, the product of the roots is given by the formula c/a. In the equation 2x^2 + 5x - 7 = 0, the values are a = 2 and c = -7. Substituting these into the formula gives the product of the roots as -7/2.

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