Answer:
Step-by-step explanation:
If you want to factor this, you have to use the quadratic formula to do so.
[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
For us, it looks like this:
[tex]x=\frac{-3+/-\sqrt{(-3)^2-4(5)(4)} }{2(5)}[/tex]
which simplifies to
[tex]x=\frac{-3+/-\sqrt{-71} }{10}[/tex]
Since it breaks every mathematical rule to have a negative number under an even index radical, we have to deal with that using the imaginary "i". You should know at this point that [tex]i^2=-1[/tex]
so we will do a rewrite on that equation above:
[tex]x=\frac{-3+/-\sqrt{i^2*71} }{10}[/tex]
which simplifies further to
[tex]x=\frac{-3+/-i\sqrt{71} }{10}[/tex]
This is the answer but we can separate it into its proper standard form which is
[tex]x=-\frac{3}{10}+\frac{\sqrt{71} }{10}i[/tex] and [tex]x=-\frac{3}{10}-\frac{\sqrt{71} }{10}i[/tex]
