Search over 10,000 free study notes

Given, 8x - 8 = 2x + 10

Solution: To solve this kind of problem, the first step is to always collect the like terms together i.e. Take the terms with x to one side of the equal sign and t...

Firstly, we note that z being a complex number can be expressed in the form z = a + bi. If we then take the complex conjugate of this expression, the real numbers remain the same (as they are their own...

Let me rephrase this question slightly:
 

"Find all the roots of the equation x^n - 1 = 0."

We know by the fundamental theorem of algebra that an nth degree ...

Say you have a differential equation of the form:
dy/dx + Py = Q , where P and Q are functions of x.
Remember that even if your equation doesn't initially look like this, you may be able to rea...

The asymptotes of a curve are the lines or curves that approach a given curve very closely without actually touching it. They make curve sketching much easier. You will probably only have asymptotes that ...