Explanation

Given the quadratic equation:

x² - 7x + k = 0

Using the sum and product of roots formula:

Sum of roots: α + β = -b/a = 7/1 = 7

Product of roots: αβ = c/a = k/1 = k

So, the value of 𝑘 is the product of the roots, which is:

𝑘 = 12