book Maths Puzzle Numerical Ability

An amount invested at 10% compounded semiannually will double in ten years. I believe this problem is true. Am I right?

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I tried to solve it but I'm not sure if its correct. The problem is : I think of a number x. If I square it and add it to the first number I thought of the total is 42. Find the n 29.50(1096-n) + 35.40n = 37