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Factorise and solve: x^2 - 8x = -15

Step 1 : The first step is to rewrite the equation in the form a x 2 + b x + c = 0. So in this case, we achieve this by adding 15 to both sides: x 2 - 8x + 15 = -15 + 15 x 2 - 8x + 15 = 0 Step 2: Now we need...
MJ
Answered by Maisie J. • Maths tutor
8024 Views

What are the products of the reaction between an acid and a base?

A salt and water (H 2 O). H + from the acid and OH - from the base combine to make water. The salt formed depends on the acid and base counterions, and is usually dissolved in water.
GH
Answered by George H. • Chemistry tutor
7946 Views

How do I structure an essay properly?

It's actually really easy to do your essay structuring right. I always followed this formula and still do! I use PEE. This is simply Point, Evidence, Example. So, if the question is, 'how did Hitler gain pow...
AT
Answered by Annabelle T. • History tutor
2572 Views

Write tan(3x) in terms of tan(x). Hence show that the roots of t^3 - 3t^2 - 3t + 1 = 0 are tan(pi/12), tan(5pi/12) and tan(3pi/4)

The first part is relatively simple. If we write tan(3x) as tan(2x+x) we can use addition formulae to give: tan(2x+x)= (tan(2x)+tan(x))/(1-tan(2x)tan(x)) tan(2x) = 2tan(x)/(1-tan^2(x)) Substituing this in an...
DG
Answered by Daniel G. • Maths tutor
54063 Views

differentiate y = (4-x)^2

This is a basic example of a very important result: the chain rule. The difficulty of this sort of example is that we have a "function of a function". That is, we have the function '4-x' and then w...
BB
Answered by Ben B. • Maths tutor
8873 Views