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FromTheMoon [43]
3 years ago
5

Please answer this below Question # 15

Mathematics
1 answer:
LiRa [457]3 years ago
7 0

Answer:

c. \: 5x - 2y = 10 \\ \:  \:  \:  \:  \:  10x - 4y = 20 \\

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3 0
2 years ago
If (3-4i) (x+iy) = 3 root 5<br> show that x^2 + y^2=9/5
NNADVOKAT [17]

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the answer is 2 + i.

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Let the square root of 3 + 4i be x + iy.

So (x + iy) (x +iy) = 3 +4i

=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i

=> x^2 – y^2 + 2xyi = 3 + 4i

Equate the real and complex terms

=> x^2 - y^2 = 3 and 2xy = 4

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=> xy = 2

=> x = 2/y

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=> x^2 - y^2 = 3

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=> y^4 + 4y^2 – y^2 – 4 =0

=> y^2(y^2 + 4) – 1(y^2 + 4) =0

=> (y^2 – 1) (y^2 + 4) =0

Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.

Therefore y = 1 and x = 2/1 = 2

The required square root of 3 + 4i is 2 + i.

5 0
3 years ago
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