Now, we subtract 1 from each side of the equation to achieve what is known as the standard form of a quadratic equation: x² – x – 1 = 0. Equivalently, this may be written as: ...

Many former algebra students have painful memories of struggling to memorize the quadratic formula. A new way to derive it, overlooked for 4,000 years, is so simple it eliminates the need.

For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram shows the main properties: If k > 0, the vertex is a minimum turning point If k < 0, the vertex is a maximum ...