exam Maths Puzzle Numerical Ability

In right triangle ACB (C is the right angle) CD is an altitude (D is between A and B). If AD=x^2 and BD=y^2, use Geometric Mean Theorems to find AC, BC, and CD interms of x and y (assume that x and y are positive)

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exam Other Question

Solve

5(x-2)^2 = 3

I cannot figure out!
Simplify the rational expression

12x-12/3 (divided by) 4x-4/21