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

Answer 1

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 \( { -1, 1 } \).