20 Sep 2013

OEMO Advanced 2000 Q3: Upper Secondary Mathematics Competition Question

Determine all real solutions of the equation

$\left&space;|\left&space;|\left&space;|\left&space;|\left&space;|&space;\left&space;|\left&space;|x^{2}-x-1&space;\right&space;|-3&space;\right&space;|-5&space;\right&space;|-7\right&space;|-9\right&space;|-11\right&space;|-13\right&space;|=x^{2}-2x-48$

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This space is here to avoid seeing the answers before trying the problem!

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