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The gradient, m, is the change in the y coordinates over the change in the x coordinates. M=(y₂ - y₁) / ( x₂ - x₁)

(2x-5)/(x+5)

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  ->...

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 =...