(a)[2]
Express $9x^2 - 36x + 8$ in the form $p(x + q)^2 + r$, where $p$, $q$ and $r$ are constants.
(b)[1]
Hence determine the values of the constant $k$ for which the equation $9x^2 - 36x + 8 = k$ has no real roots.
(c)[2]
Find the exact roots of the equation $9x^2 - 36x + 8 = -15$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “So the constants are $p=9$, $q=-2$, and $r=-28$.” …
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