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Maths
GCSE

How to do Difficult Surd Algebraic manipulation questions example: Rationalise the denominator of the expression: 1+5^(1/2) / 3+5^(1/2). Give your answer in its simplest form:

The first thing to do, is to assess how far the student has managed to work, and then find the missing pieces within the students skill or knoweldge. I might decide to go through the question with the stu...

AV
Answered by Alexander V. Maths tutor
2922 Views

Solve (72x^3 - 18x)/(12x^2 - 6x) = 0 for x.

So first you need to recognise that you are able to take 2x out of both the numerator and denominator of the fraction:(72x3 - 18x)/(12x2 - 6x) = 0 ---> (2x (36x2 - 9))/ (2x (6x - 3)) = 0 ,...

WR
Answered by William R. Maths tutor
2718 Views

What is a major use of completing the square?

Completing the square is a technique that converts a quadratic polynomial of the form:y=ax^2+bx+c into:y=a(x-d)^2+eThis converted form can be used to identify the location of the turning point. The turnin...

LM
Answered by Lewis M. Maths tutor
2713 Views

Solve the simultaneous equations 5x + y = 21 and x - 3y = 9

To begin with, I would begin by explaining that in a situation with simultaneous equations one of the variables must be eliminated to find the values for y and x.In this specific case I would make the x v...

LO
Answered by Lily O. Maths tutor
2914 Views

Complete the square on this equation: 2x^2 + 20x + 15 = 0.

First you need to remove the coefficient on the x^2. We do this by factorising the 2x^2 + 20x and placing the 2 from the x^2 outside a set of brackets. This looks like:2(x2+10x) +15 = 0Then we ...

RL
Answered by Robyn L. Maths tutor
3299 Views

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