1 answer
(click or scroll down)
To find the solution to the equation \( 3x^2 + 7 = 10 \), we first simplify the equation:
1. Subtract 7 from both sides:
\[
3x^2 = 10 - 7
\]
\[
3x^2 = 3
\]
2. Divide both sides by 3:
\[
x^2 = 1
\]
3. Take the square root of both sides:
\[
x = \pm 1
\]
This means the solutions are \( x = -1 \) and \( x = 1 \).
Using set notation, we express the solution as:
\[
\{ -1, 1 \}
\]
So, the solution to the equation \( 3x^2 + 7 = 10 \) in set notation is \( \{ -1, 1 \} \).