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How to factorise x^2 + 6x +5

Firstly you check to see if there is a coefficient to the x 2 term, in this example there isn't so we know that both the brackets will have a single x in, (x + )(x + ). We also know both the signs in the bra...
FE
Answered by Fred E. • Maths tutor
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Solve x^2+6x-7 by completing the square.

We know that to complete the square we put the equation in the form (ax+b)^2+c=0. So we must do that to our equation. We will begin by establishing what will be within our squared brackets. As there is no co...
JC
Answered by James C. • Maths tutor
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Rearrange the following to make 'W' the subject: aw + 3 = 4(bw + 5)

aw + 3 = 4(bw + 5) Let's get rid of those brackets... aw + 3 = 4bw + 20 Now we rearrange... aw - 4bw = 17 Factorise... w(a - 4b) = 17 Final rearrange... w = 17 / (a - 4b) Done.
JM
Answered by Jack M. • Maths tutor
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How do I draw a graph, y = mx + c, if I am only given m and a point that the line passes through?

Let's say we have the equation y = 2x + c and we are told that the line passes through the point (3, 4). Our first step is to use the numbers from the point (3, 4), by substituting them into our equation. Li...
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Answered by Alex D. • Maths tutor
3585 Views

a x 10^4 + a x 10^2 = 24 240 where a is a number. Work out a x 10^4 - a x10^2 Give your answer in standard form.

From first principles: ax10^4 is the same as a0000. ax10^2 is the same as a00 So, a0000 a00 a0a00 If we look at this pattern and compare to the number in the question: a0a00 | | 24240 the a0 corresponds to t...
JB
Answered by Joe B. • Maths tutor
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