Search over 10,000 free study notes

Completing the square is just another way of solving a quadratic equation; It is useful if you cannot factorise the equation.

When completing the square you want to end up with your equat...

In order to find the value of x we can first factorise the equation. To factorise a quadratic we put it in the form:(x+a)(x+b)=0When multiplying out this general term we get:x^2 + bx + ax + ab = 0This can...

When proving trigonometric identites, we must show that the left hand side of the equation = the right hand side. Here we will start with the left hand side (LHS) and show that it is equivalent to the rig...

The nth term is a formula that allows us to find the value of a term in a sequence given its position in the sequence, whether this is the second term (n=2) or the millionth (n=1000000). In the above sequ...

Rule of differentiating is to times down by the power and then reduce it by one.

Firstly we will handle the 2x^​5​:

(2*5)x^5-1=10x^​4