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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

2967 Views

Why do we use algebra?

Algebra is a very good way of generalising a particular scenario. For example, if you get a weekly allowance of £5 for leisure you can make an equation to calculate the amount of money you can save up in ...

Answered by Aaron R. • Maths tutor

2109 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

2556 Views

Given y= sqrt(x) + 4/sqrt(x) + 4 , find dy/dx when x=8 giving your answer in form Asqrt(2) where A is a rational number.

Read and understand the questionRe-write in easier form to be able to differentiateDifferentiate and sub in value for xSimplifyMake sure we answer the question

Answered by Corey M. • Maths tutor

5613 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

2633 Views