exam Maths Puzzle Numerical Ability

The operation @ is defined as @(a) = a^2 + 4a -4, for any real number a. Find the value(s) of a for which @(a)= a.

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exam Other Question

what is the name of the equation: am = a1 + (m-1)d and its companion: Sm = (m/2) (2a+(m-1)d)

this equation is related to the 1+2+3+4+5...100 problem that a young German student Jay flew an airplane 500km against the wind in the same time it took him to fly it 600km with the wind. The speed of the wind was 20km/h. What was the average speed of the airplane?