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Spot the Difference

Age 16 to 18
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In this problem there are three equations of straight lines and three more complicated relations between x and y.

Consider all the factors of the non-linear expressions to discover what points lie on their graphs.

The more complicated relations have extra points (x, y) which satisfy the relations but the computer does not notice.You have to be cleverer than the computer and find the extra points satisfying the relation that do not show up on the computer's graph. To do this you need to look at all the factors in the expressions and find when they are zero.




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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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