exam Maths Puzzle Numerical Ability

(x^2-2/x)^2-7(x^2-2/x)-18=0

TRANSLATION: open parenthesis: x squared minus two divided by x closed parenthesis minus 7 open x squared minus two divided by x minus 18=0

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Two sides of a triangle are 2cm and 3cm long and the angle between them is pi/6. Find the area of the triangle. A total of $8000 is invested, part at 6% and the remainder at 9%. How much is invested at each rate if the annual interest is $540?