Exploring Complex Numbers
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Questions and Answers

If x−iy= c−id a−ib, prove that (x^2 +y^2)^2 = c^2 +d^2 / a^2 +b^2

By substituting the values of x, y, c, d, a, and b into the equation and simplifying.

What is the relationship between (x^2 +y^2)^2 and c^2 +d^2 / a^2 +b^2, according to the equation x−iy= c−id a−ib?

They are equal to each other.

What mathematical operation should be performed on (x^2 +y^2)^2 and c^2 +d^2 / a^2 +b^2 in order to prove their equality, based on the given equation?

Simplification and substitution.

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