Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
This is a beautiful result involving a parabola and parallels.
Can you prove our inequality holds for all values of x and y between 0 and 1?
This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.
