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kumpel [21]
3 years ago
10

Simplify the following expression. (10-4i)(4-5i)+(-15+20i)

Mathematics
1 answer:
Vikki [24]3 years ago
3 0

Answer:

5-46i

Step-by-step explanation:

1. Multiply (10-4i) and (4-5i), I recomnd using foil:

40-50i-16+20i^2 + (-15+20i)

2. Remove the parenthesis around -15+20i

*we can do this since there is a "+":    

40-50i-16+20i^2 + (-15)+20

3. Simplify i^2

* i^2 is -1 by textbook defination:

40-50i-16+20(-1) + (-15)+20

4. Simplify

40-50i-16-20 + (-15)+20

6. Combine like terms:

-5-50i-16i+20i

5-46i

And the problem is done

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Step-by-step explanation:

You use the quadratic formula of ax^{2} +bx+c = 0 to get:

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The sum of these two x values turns out to be:

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