Quadratic equations

problem

Halving the Triangle

Age

16 to 18

Challenge level

Draw any triangle PQR. Find points A, B and C, one on each side of the triangle, such that the area of triangle ABC is a given fraction of the area of triangle PQR.
problem

Implicitly

Age

16 to 18

Challenge level

Can you find the maximum value of the curve defined by this expression?
problem

Erratic Quadratic

Age

16 to 18

Challenge level

Can you find a quadratic equation which passes close to these points?
problem

Quad Solve

Age

16 to 18

Challenge level

Can you solve this problem involving powers and quadratics?
problem

Golden Ratio

Age

16 to 18

Challenge level

Solve an equation involving the Golden Ratio phi where the unknown occurs as a power of phi.
problem

Polar Flower

Age

16 to 18

Challenge level

This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.
article
Golden Mathematics

A voyage of discovery through a sequence of challenges exploring properties of the Golden Ratio and Fibonacci numbers.
interactivity
Proof Sorter - Quadratic Equation

Age

14 to 18

Challenge level

This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations.
article
Continued Fractions II

In this article we show that every whole number can be written as a continued fraction of the form k/(1+k/(1+k/...)).