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dem82 [27]
2 years ago
14

What are the steps to find (2+2i)(5+3i)?

Mathematics
2 answers:
pshichka [43]2 years ago
7 0

Answer:

16i + 4

Step-by-step explanation:

(2 + 2i)(5 + 3i) =

= 2×5 + 2i×5 + 2×3i + 2i×3i

= 10 + 10i + 6i + 6i²

= 6i² + 16i + 10

= - 6 + 16i + 10

= 16i + 4

WITCHER [35]2 years ago
6 0

(2+2i)(5+3i)
10+6i+10i+6i^2
10+16i+6(-1)
4+16i
When you have an “i^2”, you also have a negative one. The simplified answer is 4+16i
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emmainna [20.7K]

Answer:

I found two different solutions. Hope one of them help!

1. x = -1/3 = -0.333

2. x = 5/2 = 2.500

Step-by-step explanation:

13 ± √ 289

  x  =    ——————

                     12

Can  √ 289 be simplified ?

Yes!   The prime factorization of  289   is

  17•17

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 289   =  √ 17•17   =

               ±  17 • √ 1   =

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So now we are looking at:

          x  =  ( 13 ± 17) / 12

Two real solutions:

x =(13+√289)/12=(13+17)/12= 2.500

or

x =(13-√289)/12=(13-17)/12= -0.333

Two solutions were found :

x = -1/3 = -0.333

x = 5/2 = 2.500

7 0
3 years ago
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2 years ago
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Answer:

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Step-by-step explanation:

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