Mathematics 10 — Exercise 2.3 · Q6

Full question

One root of x² − (2k+4)x + (7k+1) = 0 is 3. Find k.

7 \times k + x^{2} - x \times (2 \times k + 4) + 1 = 0

Step-by-step solution

A root satisfies the equation, so replace x with 3.
$k - 2 = 0$
Expand and combine the k terms and constants.
$k - 2 = 0$
Add 2 to both sides.
$k = 2$

Answer

The final answer is shown below.

k = 2