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}

1 answer

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}.