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777dan777 [17]
2 years ago
12

(x-yi)(3+5i) is the conjugate of 6+24i

Mathematics
1 answer:
Nataly_w [17]2 years ago
5 0

Answer:

x=-3

y=3

(-3-3i)(3+5i)

Step-by-step explanation:

(x-yi)(3+5i)\\=3x+5xi-3yi+5y\\=(3x+5y)+(5x-3y)i\\

and we have that must equal

6-24i

3x+5y=6

5x-3y=-24 and if we work it we found out that the solutions are

x=-3 and

y=3

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Step 1:  Multiply both equations by t

xt=t(cost -sint)\\ty\sqrt{2} =t(cost +sint)

Step 2:We square both equations

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Step 3: Adding the two equations

(xt)^2+(ty)^2(\sqrt{2})^2=t^2(cost -sint)^2+t^2(cost +sint)^2\\t^2(x^2+2y^2)=t^2((cost -sint)^2+(cost +sint)^2)\\x^2+2y^2=(cost -sint)^2+(cost +sint)^2\\(cost -sint)^2+(cost +sint)^2=2\\x^2+2y^2=2 hopes this helps

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3 years ago
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What is the equation of (0,2) and (3,0)
ivolga24 [154]
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