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Maths
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Make a the subject of the following equation, p=(3a+5)/(4-a)

In this question I would initially aim to get an a on both sides of the equation. My first step would be to multiply both sides by (4-a) to do this. After this point I would expand out the brackets on ...

MO
Answered by Martin O. Maths tutor
7947 Views

Derive from the standard quadratic equation, the form of the quadratic solution

ax2+bx+c=0 : basic quadratic equation

a(x+ bx/a) + c=0  

a((x+b/2a)-

JD
Answered by Jaiveer D. Maths tutor
6353 Views

Factorise and solve: x^2 - 8x = -15

Step 1: The first step is to rewrite the equation in the form ax2 bx + c = 0. So in this case, we achieve this by...

MJ
Answered by Maisie J. Maths tutor
7333 Views

Write tan(3x) in terms of tan(x). Hence show that the roots of t^3 - 3t^2 - 3t + 1 = 0 are tan(pi/12), tan(5pi/12) and tan(3pi/4)

The first part is relatively simple.  If we write tan(3x) as tan(2x+x) we can use addition formulae to give:

tan(2x+x)= (tan(2x)+tan(x))/(1-tan(2x)tan(x))

tan(2x) = 2tan(x)/...

DG
Answered by Daniel G. Maths tutor
53060 Views

differentiate y = (4-x)^2

This is a basic example of a very important result: the chain rule. The difficulty of this sort of example is that we have a "function of a function". That is, we have the function '4-x' and ...

BB
Answered by Ben B. Maths tutor
8240 Views

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