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Aleks [24]
2 years ago
8

(1+i)^2(x+yi)=4+5i Solve for x and y

Mathematics
1 answer:
faust18 [17]2 years ago
7 0

Answer:

x = 5/2

y = -2

Step-by-step explanation:

(1+i)² (x+yi) = 4+5i

(1+2i+i²)(x+yi) = 4+5i

(1+2i-1)(x+yi) = 4+5i

2i(x+yi) = 4+5i

2i²y + 2xi = 4+5i

-2y + 2xi = 4 + 5i

By comparing both sides,

-2y = 4

y = -2,

2x = 5

x = 5/2

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Step-by-step explanation:

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3 0
3 years ago
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jok3333 [9.3K]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Yana is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below: A trian
kolezko [41]

Please see attached file for the triangle’s figure:

 

Going with the image attached, if DE is parallel to BC<span>
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Therefore, the inequality that she will use to contradict the assumption</span> is 4:9 ≠ 6:13</span>.

To add, a relation that holds between two values when they are different in mathematics is called an inequality. A is not equal to b also means the notation a ≠ b.

<span><span>

</span>Inequalities are governed by the following properties<span>:

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 Converse
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7 0
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3 years ago
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