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Usingset notation, what is the solution to the following equation? a ^ 2 + 3 = 19

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\begin{gathered} a^2+3=19​ \\ a^2+3-3=19​-3\text{ (Subtracting 3 on both sides of the equation)} \\ a^2=16 \\ \sqrt[]{a^2}=\sqrt[]{16}\text{ (Calculating the root of each term)} \\ a=4\text{ or a=-4} \\ Answer\rightarrow a=\mleft\lbrace4,-4\mright\rbrace \end{gathered}

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