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(a + b)^2 Expansion and Visualisation

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Question

Find $z$ in $(z + 5)^{2} = z^{2}$ .

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Solution

$(z + 5)^{2} = z^{2}$
$z^{2} + 25 + 10 z = z^{2}$
$10 z = - 25$
$∴ | z | = \frac{- 5}{2}$

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