Question
Both −4
and 4 make the equation x2+10=26
true. Use set notation to express these solutions. When entering your response, list elements in the set from least to greatest, with a comma between each element in the set.(1 point)
and 4 make the equation x2+10=26
true. Use set notation to express these solutions. When entering your response, list elements in the set from least to greatest, with a comma between each element in the set.(1 point)
Answers
GPT-4o mini
The solutions to the equation \( x^2 + 10 = 26 \) can be found by first rearranging the equation:
\[
x^2 = 26 - 10
\]
\[
x^2 = 16
\]
Taking the square root of both sides yields:
\[
x = 4 \quad \text{or} \quad x = -4
\]
To express these solutions in set notation, we write:
\[
\{-4, 4\}
\]
Therefore, the final answer in set notation is:
\(\{-4, 4\}\)
\[
x^2 = 26 - 10
\]
\[
x^2 = 16
\]
Taking the square root of both sides yields:
\[
x = 4 \quad \text{or} \quad x = -4
\]
To express these solutions in set notation, we write:
\[
\{-4, 4\}
\]
Therefore, the final answer in set notation is:
\(\{-4, 4\}\)