self Maths Puzzle

If g and h are the roots of the equation: x^2-6x+6=0
What is the value of g^2+h^2 ?

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self Other Question

There are 12 coins. One of them is false; it weights differently. It is not known, if the false coin is heavier or lighter than the right coins. How to find the false coin by three weighs on a simple scale?
The diagonal of a rectangular field is 60 m. more than the shorter side.If the longer side is 30 m. more than the shorter side.What are the sides of the field ?