The values −1 and 1 make the equation 3x2+7=10 true. Use set notation to express the solution to the equation.(1 point)

Answer 1

To express the solution to the equation \(3x^2 + 7 = 10\) in set notation, we first solve for \(x\):

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 gives us the solutions \(x = 1\) and \(x = -1\).

Now we can express the solution in set notation:

\[ { -1, 1 } \]

So the solution set is \( { -1, 1 } \).