Unity definition in mathematics (math): the number one Slide 3 says: cuberoot(1) = ?, ?, ? Let’s call the number x the cube root of unity. If x is equal to the cube root of unity, then we know that x cubed - unity cubed is equal to 0. x^3 - 1^ 3 = 0 We can factor out this equation and get the result shown below. (x- 1)(x^2 + x + 1) By using foil, we can check this result. Slide 5 says: We now know that (x - 1)(x^2 + x + 1) is correct. We can divide both sides by x^2 + x + 1 to find that one of our solutions is 1 x - 1 = 0 x = 1 We will divide the original again, this time with x - 1. x^2 + x + 1 = 0 We can use the quadratic formula to find the two other solutions. (-1 +- sqrt(1 - 4))/2 1 - 4 = -3 So, our other two solutions are imaginary.
this took forever to make because of lag and random character deletion (when i backspaced one time it did it like twice or more)
