Question

Show how Aaliyah can finish her work using complexnumbers. As a reminder, her last step before requiringassistance is:(x- 3)2=1Be sure to show ALL steps that lead to your finalsolution set!

Answer 1

aAs given by the question

There are given that the equation

$x^2-6x+10=0$

Now,

The solution of the Aaliyah is:

$(x-3)^2=-1$

Then,

The next step of the given solution is:

$\begin{gathered} (x-3)^2=-1 \\ x-3=\sqrt[]{-1} \end{gathered}$

According to the concept of complex number

$i=\sqrt[]{-1}$

So,

$\begin{gathered} x-3=\sqrt[]{-1} \\ x-3=i \\ x=i+3 \end{gathered}$