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Factorise 2x²-4x-6=0

2(x²-2-3)=0   ->    2(x+1)(x-3)=0

split factors up       2=0 ,  (x+1)=0   and   (x-3)=0     

                                x+1=0  ->...

Substitute y into 4y-2=3x

4(2x-7)-2=3x   ->   8x-28-2=3x     ->      8x-3x=28+2    ->   5x=30    ->    x=30/5    ->    x=6

subsitute x into y=2x-7

y=2(6)-7    ->    ...

The thing to remember when analysing historical sources is that there is a structure to follow: 

Firstly you want to make sure you look at the image very clearly. This might seem very obvious, but ...

1. Check that your triangle is a right-angled triangle. Remember, you can only use pythagoras theorem or SOHCAHTOA on right-angled triangles.
   
2. Label the sides O, H and A: opposite (the an...

Let the quadratic equation be of the form: ax² + bx + c = 0.

Now by completing the square ( which can be done numeorous ways) get: a(x - b / 2a)² - a(b / 2a)² + c =...