Quadratic Equations
Incomplete quadratics, the discriminant and the quadratic formula, the number of solutions, factorising, sum and product of the roots, equations that lead to a quadratic, and word problems.
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Available exercises
Incomplete Quadratic Equations
Solve quadratic equations with no x term or no constant term: by taking square roots or by taking x out as a common factor.
The Quadratic Formula and the Discriminant
Solve full quadratic equations with the discriminant and the quadratic formula — with whole-number, fractional and surd roots.
The Discriminant and the Number of Solutions
Work out the discriminant, decide how many real solutions a quadratic has and find the parameter that gives a repeated root.
Factorising Quadratics
Factorise a quadratic expression into linear factors and build a quadratic equation that has given roots.
Quadratic Word Problems
Word problems about rectangles, numbers, tournaments, right-angled triangles and speed that lead to a quadratic equation.