Maths for Diploma Studies

First, we want to expand the bracket, so we multiply R and C by D:

Now we want to move RD, but we can’t because it’s being subtracted from. There is a way around this because  is the same as , so we can rewrite it as:

Then we move RD across the equals sign by subtracting it from both sides:

Because  is the same as , we can divide both sides by -D to isolate C: 

We start by multiplying out the bracket:

We can’t move -R, so we need to move  across by multiplying both sides by it:

Now we can move  back across by dividing both sides by it:

Now we can subtract 25F from both sides to move that across the equals sign:

And finally, we can divide both sides by 50 to isolate :

Almost a trick question because you don’t need to expand the bracket; you can just start by taking a square root of both sides of the equation, like so:

Next, we can move  across the equation by subtracting that from both sides: 

We can start by moving the  across the equation by dividing both sides by that:

Now we can move the fraction across by multiplying by its reciprocal:

And the  over by multiplying by that:

We can’t expand the bracket by multiplying the  and  by 3 because  is being subtracted from  but we can divide both sides by 3:

Finally, we can add  to both sides to move that over the equals sign isolating  :

We can start by multiplying both sides by  to move this across the equation:

Now we can move KA by dividing both sides by that:

Now, because we have a multiplication in the brackets, we can square both P₁ and P₂ to expand:

Now we move  by dividing both sides by it:

And finally, we can take a square root of both sides to isolate P2: