Answer:
r = ±4.
Explanation:
The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants. To write the equation 2r^2 - 32 in this form, you can subtract 32 from both sides to get 2r^2 - 32 = -32, and then divide both sides by 2 to get r^2 - 16 = -16. Finally, you can add 16 to both sides to get r^2 = 0, which is the standard form of a quadratic equation.
So, the equation 2r^2 - 32 = 0 can be written as the quadratic equation r^2 = 16, which has two real roots, r = ±4.