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How do you add #-( 3.5i + 2.3) + ( 8.5+ 5.7i )#?

Answer 1

#2.2i+6.2#

Don't be daunted by the imaginary unit, #i#. Since we aren't multiplying it, for the most part we can treat it like a variable.

First, let's distribute the negative to both terms in the parenthesis to get

#-3.5i-2.3+8.5+5.7i#

Next, we combine like terms. The #i# terms will go with each other, and the constants will go with the constants. Doing this, we get

#2.2i+6.2#

as our final answer.

Hope this helps!

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Answer 2

Sophie Adams

To add ( -(3.5i + 2.3) + (8.5 + 5.7i) ), first distribute the negative sign in front of the first complex number:

[ -(3.5i + 2.3) = -3.5i - 2.3 ]

Now, combine like terms:

[ (-3.5i - 2.3) + (8.5 + 5.7i) = (8.5 - 2.3) + (-3.5i + 5.7i) ]

[ = 6.2 + 2.2i ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.