### Home > CCA2 > Chapter 10 > Lesson 10.1.3 > Problem10-53

10-53.

Verify that $3 + i\sqrt { 2 }$ is a solution of $x^2 - 6x + 11 = 0$.

Show that $\left(3+i\sqrt{2}\right)^2-6\left(3+i\sqrt{2}\right)+11=0.$