exam Maths Puzzle Numerical Ability

z^2-64/z / z-8/z+5

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exam Other Question

Find y as a function of x. The constant Cis a positive number.
ln(y-3)=ln 2(x^2)+ln C
Can someone please explain this and dumbify it down - thank you so much in advance:

Rationalize the denominator:
_____2______
√[6] - √[5]