Question

The values - 1 and 1 make the equation 3x2 + 7 = 10 true. Use set notation to express the
solution to the equation. (1 point)
• {-1,1}
• (-1,1)
0（エ=-1,2=1）
0 12=-1,2= 1}

Answer 1

To express the values that make the equation \(3x^2 + 7 = 10\) true in set notation, we first solve the equation:

1. Subtract 7 from both sides:
\[
3x^2 = 10 - 7
\]
\[
3x^2 = 3
\]

2. Divide by 3:
\[
x^2 = 1
\]

3. Take the square root of both sides:
\[
x = \pm 1
\]

Thus, the solutions are \(x = -1\) and \(x = 1\).

In set notation, this can be expressed as:
\[
\{-1, 1\}
\]

So the correct answer is **\{-1, 1\}**.