Question

Find the roots of x^2-4x+6=0

Answer 1

 x² - 4x + 6 = 0 
x² - 2x = - 6 + (- 2)² 
x² - 2x = - 6 + 4 
(x - 2)² = - 2 
x - 2 = ± 2i 

Answer: x = 2 ± 2i—no real root [imaginary solutions only]