x^2-4x+2=0

Question

solve the equation showing answer as a comma- separated list. If there's no real solution ,enter no real solution.

Answer 1

x² - 4x + 2 = 0

 

Apply the quadratic formula:

 

x = {4/2 ± √[(-4)²-4(1)(2)]}/2

 

x = (2 ± √8)/2

 

Now √8 = √(4*2) = 2√2

 

x = (2 ± 2√2)/2

 

x = 1 ± √2

 

x = 1+√2, 1-√2