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Real(ly) Numbers

If x, y and z are real numbers such that: x + y + z = 5 and xy + yz + zx = 3. What is the largest value that any of the numbers can have?

How Many Solutions?

Find all the solutions to the this equation.

After Thought

Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?

Curve Match

Age 16 to 18 Challenge Level:
The green graph should be straightforward to identify.
A little bit of numerical detective work should help you to identify which axis is which.