Search over 10,000 free study notes

Pythagoras' theorem states that in any right-angled triangle the square of the longest side (called the HYPOTENUSE) is equal to the sum of the squares of the other two shorter sides.If th...

First take the 3 over the other side to make the right hand side zero, turning it into a homogeneous equation: 3a²+4a-2=0. Since the expression on the left hand side cannot be factorised, we ha...

We can use integration by parts to solve this question. If we look at the formula for Integration by parts: ∫u(dv/dx)dx = uv - ∫ v (du/dx) dx, we see that u must be multi...

Firstly we have to factorize the quadratic. We do this by finding two numbers that multiply to -12 and add to 1.Looking at the factors of 12 we can see that x²+x-12= (x-3)(x+4)because -3 x 4 = ...

If we want to make y the subject of our equation, we need to re-arrange our equation so that y is on its own on one side of the equation. Such as y=...To re-arrange our equation, we need to decide if we w...