Multiple choice

The roots of the equation $x^2 - 3x - 10 = 0$ are

  1. Roots are $1$ and $3$.
  2. Roots are $-2$ and $5$.
  3. Roots are $-8$ and $2$.
  4. Roots are $4$ and $3$.
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B Correct answer
Explanation

Factor x^2 - 3x - 10 = 0 into (x - 5)(x + 2) = 0. The roots are x = 5 and x = -2.

AI explanation

We factor the quadratic equation x^2 - 3x - 10 = 0 by finding two numbers that multiply to -10 and add to -3. These numbers are -5 and 2, allowing us to write the equation as (x - 5)(x + 2) = 0. Setting each factor to zero gives x = 5 and x = -2, so the roots are -2 and 5.

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