the values -1 and 1 make the equation 3x^2+7=10 true. use a set of notation to express the solution to the equation.

Answer 1

To determine the solution to the equation \(3x^2 + 7 = 10\), we start by isolating the variable \(x\).

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

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

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

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

In set notation, we can express the solution as: \[ { -1, 1 } \]