The values −1 and 1 make the equation 3x2+7=10 true. Use set notation to express the solution to the equation.
The solution to the equation 3x^2 + 7 = 10, with the values -1 and 1, can be expressed using set notation as {x: x = -1 or x = 1}.
To find the values that make the equation 3x^2 + 7 = 10 true, we need to solve the equation.
First, subtract 7 from both sides of the equation:
3x^2 = 10 - 7
3x^2 = 3
Now, divide both sides of the equation by 3:
x^2 = 1
To find the values of x, take the square root of both sides of the equation:
x = ±√1
Since the square root of 1 is ±1, the solutions to the equation are x = -1 and x = 1.
Expressing this solution in set notation, it would be written as:
{x | x = -1 or x = 1}