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Maths
GCSE

Find the minimum value of the quadratic equation: y = x^2 + 4x - 12

To find the minimum point of a quadratic equation, the quadratic should be written in the form '(x+a)2+ b', i.e. completing the square, where the coordinates of the minimum point will be (-a,b)...

Answered by Rebecca B. Maths tutor
4964 Views

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...

Answered by Alexander V. Maths tutor
2380 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 ,...

Answered by William R. Maths tutor
2278 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...

Answered by Lewis M. Maths tutor
2229 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...

Answered by Lily O. Maths tutor
2422 Views

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