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Solve |3x+1| = 1

Firstly square both sides. This way, we now know that both sides have to be positive (3x+1)^2 = 1 (3x+1)(3x+1) = 1 Expand the quadratic... 9x^2 + 12x + 4 = 1 9x^2 + 12x + 3 = 0 Now complete the square. First...
DT
Answered by Dorothy T. • Maths tutor
7850 Views

AS Maths ->Expresss x^2 + 3x + 2 in the form (x+p)^2 + q... where p and q are rational number

So we are meant to rearrange the given equation in a way that it looks like: (x+p)^2 + q This should look familiar. It is obtained by completing the square. Which will be the method I will describe below: Fi...
JI
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How do I simply differentiate and what does a differential mean?

To differentiate a simple expression such as x^3 + 2x you simply multiply the power of the x by the multiple in front of the x value and then take away one from the power. For example the expression would be...
LW
Answered by Laura W. • Maths tutor
6190 Views

Expand and simplify (x + 5)(x – 1)

These two brackets multiply out to form what is called a quadratic. We expand these two brackets using the "FOIL" method - this stands for First, Outside, Inside and Last. Therefore, the first two ...
SM
Answered by Shrishti M. • Maths tutor
36130 Views

Simplify and solve for x. log(x+1)+log 5=2. Note, log is the natural log in this case

so lets deal with 2 first. We can express 2 in terms of log5 by the laws of logs. nlogx=logx^n. re-writing 2 as 2log5=log25 we now have log(x+1)+log5=log25. lets apply a different log law: log(a)-log(b)=log(...
LM
Answered by Liam M. • Maths tutor
7419 Views