Multiple choice

Find the product of roots of the equation. $\displaystyle { x }^{ 2 }+2x-48=0$

  1. $-48$
  2. $48$
  3. $24$
  4. $-24$
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A Correct answer
Explanation

For a quadratic equation ax^2+bx+c=0, the product of roots is c/a. Here, c = -48 and a = 1, so the product is -48.

AI explanation

For a quadratic equation of the form ax^2 + bx + c = 0, the product of the roots is found using the formula c/a. In the equation x^2 + 2x - 48 = 0, the coefficient a is 1 and the constant term c is -48. Applying the formula gives the product as -48 divided by 1, which results in -48.