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  • Factorisation - only works if the solutions are rational, so not always possible).
  • Graph it - only works if solutions are real. Although this method WILL find irrational soultions, it may be difficult to relate answer to simple surd forms eg very few people could recognise 1.32288.. as sqrt(7)/2!. Also, it is difficult to read solutions off a graph to a high degree of precision.
  • Numerical methods - only works if solutions are real. Can go to high precision but you still have the problem of relating an infinite decimal to a simple surd representation.
  • Use quadratic equation - always provides a solution if you allow complex numbers.
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