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Domain

Write the dom...

Question

Write the domain of the relation $R$ defined on the set $Z$ of integers as follows:
$(a, b) \in R \Leftrightarrow a^{2} + b^{2} = 25$

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Solution

Given the relation defined on $Z$ is $(a, b) \in R \Leftrightarrow a^{2} + b^{2} = 25$ .
Since $a, b$ are integers then the domain of the relation, i.e. the set of the integers satisfying the given equation, will be ${0, \pm 3, \pm 4, \pm 5}$ .

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