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

1 answer

To find the solution to the equation \( 3x^2 + 7 = 10 \), we first solve for \( x \).

Start by isolating \( x^2 \):

\[ 3x^2 + 7 = 10 \] Subtract 7 from both sides:

\[ 3x^2 = 10 - 7 \] \[ 3x^2 = 3 \] Now, divide both sides by 3:

\[ x^2 = 1 \] Taking the square root of both sides gives:

\[ x = \pm 1 \]

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

To express these solutions in set notation, we can write:

\[ { -1, 1 } \]

So, the solution set in set notation is:

\[ { -1, 1 } \]