Review question

If $7 - px - x^2 = 16 - (q + x)^2$, what are $p$ and $q$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9724

Question

Given that $y = 7 - px - x^2 = 16 - (q + x)^2$ for all values of $x$, where $p$ and $q$ are both positive,

1. calculate the values of $p$ and $q$,
2. state the maximum value of $y$ and the value of $x$ at which it occurs,
3. find the range of values of $x$ for which $y$ is positive.