Further Solving Quadratic Equations (Hidden Quadratics) What are hidden quadratic equations? Hidden quadratic equations are quadratics written in terms of a function A normal quadratic appears in t...
Solving Quadratic Equations Solving quadratic equations We can solve quadratic equations when they are written in the form If given an unusual looking equation, try to rearrange it into this form f...
Completing the square What is completing the square? Completing the square is another method used to solve quadratic equations It simply means writing in the form It can be used to help find other...
Discriminants What is a discriminant? The discriminant is the part of the quadratic formula that is under the square root sign It is sometimes denoted by the Greek letter (capital delta) How does ...
Quadratic Graphs What are quadratic graphs? The general equation of a quadratic graph is Their shape is called a parabola ("U" shape) Positive quadratics have a value of so the parabola is uprigh...
Surds - Rationalising the Denominator What does it mean to rationalise a denominator? Rationalising a denominator changes a fraction with surds in its denominator, into an equivalent fraction where...
Manipulating Surds What are surds? If n is a positive integer and is not a square number, then √n (or any multiple of √n ) is a surd Surds are examples of irrational numbers What do I need to know ...
Laws of Indices What do I need to know about laws of indices? Laws of indices (or index laws – 'index' is the singular, 'indices' is the plural) allow you to simplify and manipulate expressions inv...
Proof by Contradiction What is proof by contradiction? A proof by contradiction assumes the opposite result is true Then, through a series of logical steps, shows that this cannot be so How do I do...
