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Let the complex number Z satisfy the equation z + |z| = 1 + 7i, then find the value of |z|^2?

Let the complex number Z satisfy the equation 
z + |z| = 1 + 7i, then find the value of |z|^2?

Grade:11

1 Answers

Mathematics Expert - askIITians
askIITians Faculty 44 Points
6 years ago
Let

Given equation

Compare both sides

Calculate x

Calculate

Hence, answer is 625

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