book Maths Puzzle Numerical Ability

the difference between a number and its riciprocal is 16 over 15. find the number.

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A ski-lift that runs to the top of a hill has a rise to run ratio of 1/9. The horizontal distance from the bottom of the lift to the center of the mountain is 7000 ft. How high is i need some one to give the steps one by one for this problem.

f(x)=2x^2-x^4+5x^2-x if f(x)=3

i'm using the synthetic substituion of polynomials