exam Maths Puzzle Numerical Ability

a,b,c are three distinct real numbers and there are real numbers x,y such that a^3+ax+y=0,b^3+bx=y=0 and c^3+cx+y=0 Show that a+b+c=0

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Please help! Verify that the points (0, 0) and (a, 0) and (a/2,a/2) form the vertices of a right triangle. Work in terms of a. A football field is a rectangle 300 ft long and 60 ft wide. The end zones add another 30ft of length at each end. How much greater is the perimeter of the field with the end zones than without them