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Maths
GCSE

Solve the following equation: (3(x-6) - 81)/4x = 0

The first step is to realise that a trivial solution of x is x = 0, which can be determined from the '4x' denominator. Now zooming in on the numerator and expanding gives us '3x^2 - 18 - 81'. Looking at t...

Answered by Harry P. Maths tutor
2772 Views

What is mathematics and why should I study it?

Mathematics is a language that is predominantly used in the fields of science; it is the study of patterns, puzzles and number theory which is then applied to real life situations such as mechanics, decis...

Answered by Aaron R. Maths tutor
2351 Views

In a right angle triangle (where angle ABC is 90 degrees), you are given that angle /_ ACB is 14 degrees and length "AB" is 4. Find the length of "BC".

Using SOH CAH TOA, and labelling each side of the triangle, we see that we are using "TOA". We have the following: tan(14)=4/"BC". Rearranging for "BC", we get the following:...

Answered by Andreas W. Maths tutor
2441 Views

Factorise the following- A) 4x+12xz. B) 3xy + 6y d) 4A^2B^2+ 8AB^2 +16AB^3

A) Firstly look at what is common - X and the number 4. Take these out the bracket . Then think what you have left and place that in the inner bracket. 4x(1+3z)
B) Again this is similar to the first ...

Answered by Hannah C. Maths tutor
2278 Views

When do two simultaneous equations have a solution?

This question was put to someone during their teacher training. This is a good question to ask, it is very important in maths to know that something you intend to study does actually exist. To explain the...

Answered by Dylan D. Maths tutor
2367 Views

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