Question

1. Z - (2+4i) = 5-i 2. (4+2i) + Z = 8+2i 3. (7+0,5i) + Z = 0,4 - 3i

Answer 1

Ответ:

1) Z=5+2-i+4i= 7+3i

2) z=4+0i=4

3) z=-6.6-3.5i

Answer 2

Let's solve the given complex equations step by step:

1. Z - (2 + 4i) = 5 - i

To isolate Z, we can add (2 + 4i) to both sides:

Z = (5 - i) + (2 + 4i)

Simplifying the right side:

Z = 5 + 2 - i + 4i

Combining like terms:

Z = 7 + 3i

Therefore, the solution for equation 1 is Z = 7 + 3i.

2. (4 + 2i) + Z = 8 + 2i

To isolate Z, we can subtract (4 + 2i) from both sides:

Z = (8 + 2i) - (4 + 2i)

Simplifying the right side:

Z = 8 - 4 + 2i - 2i

Combining like terms:

Z = 4

Therefore, the solution for equation 2 is Z = 4.

3. (7 + 0.5i) + Z = 0.4 - 3i

To isolate Z, we can subtract (7 + 0.5i) from both sides:

Z = (0.4 - 3i) - (7 + 0.5i)

Simplifying the right side:

Z = 0.4 - 3i - 7 - 0.5i

Combining like terms:

Z = -6.6 - 3.5i

Therefore, the solution for equation 3 is Z = -6.6 - 3.5i.

Please let me know if there's anything else I can help you with!