Question

If 2+ square root 2 is one of the roots of the equation x² - 4x + k = 0
Find the value of k and the roots

Answer 1

Step-by-step explanation:

x = 2+ √2

(2+√2)² - 4× (2+√2) +k = 0

4 + 2 + 4√2 - 8 - 4√2 + k = 0

6 - 8 + k = 0

-2 + k = 0

k = 2