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Solution: Let us consider the function f(k) = k² - k -12. Firstly, we want to find out the roots of this function. We calculate the discriminant: Δ = b² – 4ac = 49 hence we ...

We will use the FOIL method. Here FOIL stands for: First, Outside, Inside, Last.
This means we start by multiplying the first terms in each bracket together to get y² .
Then we multi...

Step 1 - through previous experience realise this equation can be solved by the substitution methodStep 2 - rearrange for the part you want to sub in, in this case it is done for us as Y is the variable w...