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So were talking about possibly the most famous equation in maths. Youve all heard of it - Eulers identity - the most beautiful equation in all of maths. e to the i plus 1 equals zero. Weve got the five most important or famous mathematical constants: zero, 1, i, and the number e. Theres a reason this is the most beautiful equation in maths, and the most famous probably mathematical equation; but theres so much more going on here so what I really want to talk about is Eulers formula. We need to start with complex numbers. Weve got a number z which we can write as x plus i times y. Here we call x the real part of our complex number, y is the imaginary part, and the number i is the square root of minus 1. Now this kind of came about because as mathematicians we wanted to be able to solve all possible quadratic equations; so we said lets call the root of minus 1 i, and now we have a solution to any possible quadratic equation by the quadratic formu