How do you simplify $(- 6 + 5 i) + (9 - 6 i)$ $(- 6+ 5i ) + ( 9- 6i )$ ?

Question

1337 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-23T03:18:07

3-i

Add like terms
$- 6 + 5 i + 9 - 6 i =$ $-6+5i+9-6i=$
$3 - i$ $3-i$

Answer 2 · 2018-02-23T03:27:53

$(- 6 + 5 i) + (9 - 6 i)$ $(-6+5i) + (9-6i)$ Simplifies into $(3 - i)$ $(3-i)$

The first thing to do is to realize that the letter $i$ $i$ is a representation of the $\sqrt{- 1}$ $sqrt(-1)$ .

However, we will no be using that value for $i$ $i$ , instead, we will be making $i$ $i$ a variable.

So, we can rewrite $(- 6 + 5 i) + (9 - 6 i)$ $(-6+5i) + (9-6i)$ as such:

$(- 6 + 5 x) + (9 - 6 x)$ $(-6+5x) + (9-6x)$

Which can be rewritten as:

$- 6 + 5 x + 9 - 6 x$ $-6+5x+9-6x$

Now we combine like terms and get:

$3 - x$ $3 - x$

We finish off by replacing the $i$ $i$ in place of the $x$ $x$ , and get the final answer of $3 - i$ $3-i$ .

How do you simplify (−6+5i)+(9−6i)(- 6+ 5i ) + ( 9- 6i )?