exam Maths Puzzle Numerical Ability

divide 30 into 2 equal parts such that the square of the smaller part exceeds the other part by 60

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exam Other Question

5floz. of a 2% alcohol solution was mixed with 11floz. of a 66% alcohol solution. Find the concentrationof the new mixture.

I need to know how to set the problem up! thanks
solve for x

(2x+1)^3/2 / (x-1)^2 + (2x+1)^1/2 / (x-1)=0