1. Is it possible to solve a quadratic equation if it does not factorise?
Yes, but it may require a special formula called the Quadratic Formula.
2. How can a graph be used to solve a quadratic equation?
By looking at the graph of an equivalent quadratic function and reading off the x-intercepts (i.e. Put y = 0)
3. What happens if a quadratic expression factorises to two brackets which are both the same?
This gives two roots (solutions) which are the same, called repeated roots.