1 answer
(click or scroll down)
To express the solution to the equation \(3x^2 + 7 = 10\) in set notation, we first need to solve for \(x\).
Starting with the original equation:
\[
3x^2 + 7 = 10
\]
Subtract 7 from both sides:
\[
3x^2 = 3
\]
Now divide by 3:
\[
x^2 = 1
\]
Taking the square root of both sides gives:
\[
x = \pm 1
\]
Thus, the solutions are:
\[
x = -1 \quad \text{and} \quad x = 1
\]
In set notation, this can be expressed as:
\[
\{ -1, 1 \}
\]
So the final answer is:
\[
\{-1, 1\}
\]