Multiple choice

If the roots of the equation $\displaystyle x^{2}+px-6=0$ are $6$ and $-1$ then the value of $p$ is

  1. $2$
  2. $3$
  3. $-5$
  4. $5$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If roots are 6 and -1, the equation is (x - 6)(x + 1) = x^2 - 5x - 6 = 0. Comparing with x^2 + px - 6 = 0, p = -5.

AI explanation

Using the relationship between roots and coefficients, the sum of the roots equals -p. The sum of the roots is 6 + (-1) = 5, so -p = 5. Therefore, p equals -5.

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