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 solving for \( x^2 \):
1. Subtract 10 from both sides:
\[
x^2 = 26 - 10
\]
\[
x^2 = 16
\]
2. Take the square root of both sides:
\[
x = \pm 4
\]
Thus, the solutions are \( x = -4 \) and \( x = 4 \).
In set notation, the solutions can be expressed as:
\[
\{-4, 4\}
\]
1. Subtract 10 from both sides:
\[
x^2 = 26 - 10
\]
\[
x^2 = 16
\]
2. Take the square root of both sides:
\[
x = \pm 4
\]
Thus, the solutions are \( x = -4 \) and \( x = 4 \).
In set notation, the solutions can be expressed as:
\[
\{-4, 4\}
\]