Search over 10,000 free study notes

This is an example of completing the square.If we expand (x - p)^2 + q, we will have x^2 -2px + p + q.Now we can use algebra to work out what p and q are from the following equation. x^2 - 7x + 2 = x^2 -2...

The Ancient Greeks perceived a much stronger relationship between Algebra and Geometry than we do today and because of that they often utilised Geometry to help think about, and solve, certain algebraic q...

Let the parabola be y=x² and let the family of lines be y=2x+c, in order to study the intersection points we need to consider the second order linear system given by having the two equations ab...

By multipying across and using some trigonometric identities we can turn this in to a much simpler quatratic which can be solved using the quadratic formula. This step can be simplified by using the subst...

Mode is the value that occurs most - which is 7. Median - put numbers in numerical order and find the middle number, which is 11. Mean is the average value so add up all the numbers and divide by the tota...