Competition Math Arena
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Algebra

Vieta's formulas

Relate roots to coefficients of a quadratic.

Practise

Systems of equations

Solve two linear equations, two unknowns.

Practise

Arithmetic series

Sum the first n terms of an AP.

Practise

Geometric series

Sum the first n terms of a GP.

Practise

Remainder theorem

Find a polynomial remainder the fast way.

Practise

AM–GM inequality

Minimise x + c/x with AM–GM.

Practise