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A common question would be how to factorise into two brackets, for example x^2 + 5x = -6

The first thing you must do is get all the terms on the same side, which we do by adding 6 to both sides : x^2 + 5x + 6 = 0. Next, we must work out which numbers add to the middle term, and write these down ...
MT
Answered by Madeleine T. • Maths tutor
4223 Views

I don't understand the point of differentiation or integration

If thinking about graphs, differentiation is the gradient, and integration is the area between the line and the axis. These operations are useful if we know values that are related through them, for example ...
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Answered by Guido B. • Maths tutor
3964 Views

I've been doing specimen MAT admission test - but I couldn't figure out the answer to the parts III, and IV of question 6 (https://www.maths.ox.ac.uk/system/files/attachments/speca.pdf). Is there some kind of a trick?

As for part III you only need to use the process of elimination. Notice, that there are only three possible situations, since at east one of Alice, Bob, and Charlie has a white hat; namely: one of them has a...
SN
Answered by Stanisław N. • MAT tutor
2836 Views

Describe the main ways in which social control occurs in society.

Social control refers to the methods used throughout society to limit deviance (breaking of social norms) and ensure that people conform to society’s rules and regulations. There are two main types of social...
HT
Answered by Holly T. • Sociology tutor
31414 Views

Solve the inequality x(x+2)>8 for x.

x(x+2)>8 if and only if x^2+2x-8>0 if and only if (x+4)(x-2)>0. There are three cases: x<-4, -4 In the first case x+4<0 and x-2<0, so their product is positive: (x+4)(x-2)>0. Next x+4&gt...
JT
Answered by Joshua T. • Maths tutor
4749 Views