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First factorise (using a "farmer's field", will draw this on whiteboard):=> (X-3)(X-5) = 0Hence using the zero rule (one of the brackets must be equal to 0 if the product is 0),either X-3 = 0...

2x²+21x+40=0factors of 40=1&40, 2&20, 4&10, 5&85 & 8 are correct factors as 5 + 2*8 = 21(2x+5)(x+8)=0So, x = -8 & -2.5

Let x = 0.303030...
We do not want to deal with a recurring decimal, and so we want to cancel this out. The easiest way to do this is to multiply x by 10 and this means we multiple our decimal by 10 ...

For this question, the main component of the equation we need o look at is (x+8)^2. We know that (x+8)^2 is the same as (x+8)(x+8). First we have to expand these brackets. For his I make small table to en...

First, we can draw a diagram to visualise the triangle and the elements of the question. Looking at this, we can see that we know the length of the hypotenuse (H) and we need to calculate the length of th...