The solutions x = 2 and x = 1 to the quadratic equation x²  x  2 = 0 can reveal something very neat indeed. We can rearrange x = 2 into x  2 = 0. Similarly we can rearrange x = 1 into x + 1 = 0 We can write these as:
If we multiply the bracketed terms, we get: (x  2)(x + 1) = 0 Multiplying out the brackets: x²  2x + x  2 = 0
What this means is important: quadratic equations can be factorised, offering a reasonably quick solution.
