Question

How can I use a tutor?

Answer 1

Answer

x = 3 ± i

x = (3 + i)

OR

x = (3 - i)

Explanation

To solve this, we need to note that √(-1) = i

So, for this simplification

√(36 - 40) = √(-4) = √[(4)(-1)] = 2i

We can now fully simplify the expression given

$\begin{gathered} x=\frac{6\pm\sqrt[]{36-40}}{2} \\ =\frac{6\pm2i}{2} \\ =\frac{6}{2}\pm\frac{2i}{2} \\ =3\pm i \end{gathered}$

x = 3 ± i

x = (3 + i)

OR

x = (3 - i)

Hope this Helps!!!