Given a line y = x + c and curve y = x² − 4, will they intersect ? Line y = x + c consists of an infinite number of parallel lines depending on value of c. 191 more words

## Tags » Quadratic

#### Algebra : Quadratic Inequalities

First for some humour :

*“A chemist, a physicist and a mathematician are stranded on an island when a can of food rolls ashore. The chemist and the physicist comes up with many ingenious ways to open the can.* 197 more words

#### Adding colour to Sequences

After browsing the ever excellent Don Steward’s Median site for sequences, I found this on Linear and Quadratic growths.

It got me thinking about using shapes to represent sequences and in particular using different colours to represent different sequences laid on top of each other. 123 more words

#### Algebra : Roots of Quadratic Equations

If a quadratic equation in the general form, ax² + bx + c = 0 has roots α and β, then (x – α)(x – β) = 0. 174 more words

#### Quadratic Equations - Galois Theory

In a Previous Post, we saw how to solve the Quadratic Equation using elementary methods by shifting around parabolas. Here we’ll see a more modern method that will not only help with higher degrees, but also show that equations of degree larger than four cannot be solved. 514 more words

#### Quadratic Equations: Shifting the Parabola

Solving Quadratic Equations of the form is a classical and fun problem to solve. Eventually we’ll want to investigate general solutions to all polynomials, but Quadratic Equations are a good place to start. 961 more words