The roots of the equation x² − px + 12 = 0 are two consecutive positive integers and p 0. Find the value of p.

Question

The roots of the equation x² − px + 12 = 0 are two consecutive positive integers and p > 0. Find the value of p.

Accepted Answer

7. Two consecutive integers with product 12 are 3 and 4. Their sum equals p, so p = 3 + 4 = 7.

The roots of the equation $x^{2} - p x + 12 = 0$ are two consecutive positive integers and $p > 0$ . Find the value of $p$ .