The expression $$\(5+12 x-2 x^{2}\)$$ can be written in the form $$\(q-2(x+p)^{2}\)$$. Find the value of $$\(p\)$$ and the value of $$\(q\)$$. $$\[ p= ............ , q= ............ \]$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_w21_qp_42 Year:2021 Question No:6(d)(i)

Answer:

\(p=-3\) and \(q=23\)

Knowledge points:

E2.5.4 Derive and solve quadratic equations by factorisation, completing the square and by use of the formula.

Solution:

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