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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!

Show How Aaliyah Can Finish Her Work Using Complexnumbers As A Reminder Her Last Step Before Requiringassistance Isx 321Be Sure To Show ALL Steps That Lead To Y class=

Sagot :

aAs given by the question

There are given that the equation

[tex]x^2-6x+10=0[/tex]

Now,

The solution of the Aaliyah is:

[tex](x-3)^2=-1[/tex]

Then,

The next step of the given solution is:

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

According to the concept of complex number

[tex]i=\sqrt[]{-1}[/tex]

So,

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