Multiple choice

Find the product of the roots for the equation $\dfrac{2}{3}x^{2}-6 = 0$.

  1. $9$
  2. $-9$
  3. $0$
  4. $-3$
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B Correct answer
Explanation

The equation is (2/3)x^2 - 6 = 0, so x^2 = 9. The roots are 3 and -3. The product of the roots is 3 * -3 = -9.

AI explanation

The quadratic equation is (2/3)x^2 - 6 = 0, which we can write in the standard form ax^2 + bx + c = 0 with a = 2/3 and c = -6. The product of the roots of a quadratic equation is given by the formula c/a. Calculating this gives (-6) / (2/3), which equals -9.

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