The graphs of $$\(y=(x-1)^{2}\)$$ and $$\(y=\frac{1}{2} x+1\)$$ intersect at $$\(A\)$$ and $$\(B\)$$. Find the length of $$\(A B\)$$. $$\[ A B= ............................................ \]$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s20_qp_42 Year:2020 Question No:9(c)(ii)

Answer:

\(2.8[0]\) or \(2.795 \ldots\)

Knowledge points:

E2.5.3 Derive and solve simultaneous equations, involving one linear and one quadratic.
E3.3 Calculate the length and the coordinates of the midpoint of a straight line from the coordinates of its end points.

Solution:

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