book Maths Puzzle Numerical Ability

a 16 foot guywire reaches from the top of a pole to a point on the ground 9 feet from the bottom of the pole?

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book Other Question

A piggy bank contains 5-centavo and 10-centavo coins amounting to PHP 30.50. If there are 19 more 5-centavo coins than 10-centavo coins, how many coins are in the piggy bank? Please help me work through this problem:

x - 5x^1/2 + 6 = 0

I know the answer is {4,9}

Thanks!