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
Find all the solutions to the this equation.
Four vehicles travelled on a road. What can you deduce from the times that they met?
Here is a pattern for you to experiment with. This one is
composed of the graphs of 14 parabolas. You may like to use a
graphic calculator or graph drawing software to do this question.
For example you can download Graphmatica for free from here .
The equations of three of the graphs are: $$y=2(x-6)^2-4$$
$$y=2x^2 -1$$ $$y= -2(x-4)^2 +3$$
Find the equations of the other 11 graphs in this pattern. Draw
your own pattern and send it to us.