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How do i change a recurring decimal into a fraction?

Let's take 0.666... as an example. In this case we can say x = 0. 666... The next step is to multiply both sides of the equation by 10 so that you end up with 10x = 6.666... Now that we have these 2 equation...
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Answered by Gail L. • Maths tutor
3392 Views

Write 2x^(2) + 9x + 1 in the from a(x+m)^(2) + n, and hence solve 2x^(2) + 9x + 1= 0, leaving your answer in surd form.

So the first part of the question is about completing the square. Since the coefficient of .. is greater than one, the first step in carrying out this process is to take out the ‘2’ from the equation. This w...
IS
Answered by Isobel S. • Maths tutor
5154 Views

Expand (2x+3)(x-2)

There are many ways to answer this question but I will use the 'foil' method, where foil is an acronym for ensuring we don't forget any terms. F is for first, where we multiply the first terms in each bracke...
Answered by • Maths tutor
8677 Views

Quadratic Equations and factorising

These questions from my own experience were some of the hardest in the GCSE maths course and need careful explaining in order to understand them properly and be able to complete them independently.These ques...
JK
Answered by Jack K. • Maths tutor
3184 Views

If (x+1) is a factor of 2x^3+21x^2+54x+35, fully factorise 2x^3+21x^2+54x+35

In order to find the other factors, we need to do polynomial division. We can do this by method of long division. We start by finding what we must times the x in (x+1) by to get the largest term of the polyn...
JG
Answered by Jennifer G. • Maths tutor
3731 Views