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The complex numbers w and z satisfy the equations w / z = 2i, z' - 3w = 5 + 5i. Find w and z in the form a + bi where a, b ∈ z.

Topic

Calculus

Question

The complex numbers w and z satisfy the equations w/z = 2i z' - 3w = 5 + 5i. Find w and z in the form a + bi where a, b ∈ z.

Answer

Knowledge

1. Understanding complex numbers and their operations.
2. Expressing complex numbers in the form a + bi.
3. Solving equations involving complex numbers.
4. Rationalizing the denominator of a complex number expression.
5. Using the conjugate of a complex number to simplify expressions.
6. Understanding the properties of complex number division and multiplication.

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