Quadratic equations

There are 39 NRICH Mathematical resources connected to Quadratic equations
Golden Eggs
problem

Golden eggs

Age
16 to 18
Challenge level
filled star filled star empty star
Find a connection between the shape of a special ellipse and an infinite string of nested square roots.
Cocked Hat
problem

Cocked hat

Age
16 to 18
Challenge level
filled star filled star empty star
Sketch the graphs for this implicitly defined family of functions.
Plus or Minus
problem

Plus or minus

Age
16 to 18
Challenge level
filled star filled star filled star
Make and prove a conjecture about the value of the product of the Fibonacci numbers $F_{n+1}F_{n-1}$.
Placeholder: several colourful numbers
problem

Resistance

Age
16 to 18
Challenge level
filled star filled star filled star
Find the equation from which to calculate the resistance of an infinite network of resistances.
Mega Quadratic Equations
problem

Mega quadratic equations

Age
14 to 18
Challenge level
filled star empty star empty star
What do you get when you raise a quadratic to the power of a quadratic?
Placeholder: several colourful numbers
problem

A third of the area

Age
14 to 16
Challenge level
filled star filled star filled star
The area of the small square is $\frac13$ of the area of the large square. What is $\frac xy$?
Proof Sorter - Quadratic Equation
interactivity

Proof sorter - quadratic equation

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.
Continued Fractions II
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/...)).
Golden Mathematics
article

Golden mathematics

A voyage of discovery through a sequence of challenges exploring properties of the Golden Ratio and Fibonacci numbers.