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Find the value of k if the roots of x² - 7x + k = 0?
  1. 12
  2. 10
  3. 7
  4. None of these
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

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