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when two complex numbers are added the sum is 5+6i. If one of the numbers is -4-5i, what is the other number?

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SpiritInly

Answer:

[tex]x = 9 + 11i[/tex]

Step-by-step explanation:

let's make the other number x and add it with -4-5i, equate to 5+6i

[tex] - 4 - 5i + x = 5 + 6i[/tex]

add 4 and 5i to both sides to get x on its own:

[tex]x = 5 + 6i + 4 + 5i[/tex]

collect like terms. This is the other number.

[tex]x = 9 + 11i[/tex]

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