exam Maths Puzzle Numerical Ability

How do you find the vertex of f(x)=-3x^2+3x-2?

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exam Other Question

0.6(x-50)=18-0.3(40-10x) This is another one that has me stumped.

Please solve:

1+(a/b) / 1-(a^2/b^2)

Thanx for your help!