exam Maths Puzzle Numerical Ability

tell me if i did this problem correct

square root of 2x + 5 + 8 = 17
= square root of 2x + 13 = 17
= 2x + 13 -13 = 17 - 13 = 4
=2x = 4
__ __
2 2
x = 2

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solve for x

x=zb-zk^2 (or, in english, x equals zb minus zk squared)