Multiple choice

Find the product of roots of equation $\displaystyle 6{ x }^{ 2 }+5x-18=0$

  1. $3$
  2. $-3$
  3. $6$
  4. $18$
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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 = -18 and a = 6. Product = -18 / 6 = -3.

AI explanation

For any quadratic equation in the form ax^2 + bx + c = 0, the product of the roots is calculated using the formula c/a. In the given equation 6x^2 + 5x - 18 = 0, the coefficients are a = 6 and c = -18. Applying the formula, the product of the roots is -18 divided by 6, which equals -3.

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