The diagram shows the curves with equations $$$y=x^{3}-3 x+3$$$ and $$$y=2 x^{3}-4 x^{2}+3$$$. Find the $$$x$$$-coordinates of the points of intersection of the curves. ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ .

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w24_qp_13 Year：2024 Question No：9(a)

Answer:

Knowledge points:

1.3.5 understand the relationship between a graph and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations. (e.g. to determine the set of values of for which the line intersects, touches or does not meet a quadratic curve.)

Answer:

Knowledge points:

Solution:

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