Some quadratics cannot be factorised. An alternative method to solve a quadratic equation is to complete the square. To solve an equation of the form \(x^2 + bx + c = 0\) consider the expression ...

The quadratic formula for a quadratic equation in the form of \(ax^2 + bx + c = 0\) is: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\). The first solution is \(\frac{(-6 ...

The mod 4 valued quadratic forms defined by E. H. Brown, Jr. are studied. A classification theorem is proven which states that these forms are determined by two things: whether or not their associated ...

Google is celebrating the quadratic equation with a special Doodle today, November 12. The Doodle shows how important this math formula is and why it is useful in everyday life. One must be aware that ...

We consider the problem of classifying all positive-definite integer-valued quadratic forms that represent all positive odd integers. Kaplansky considered this problem for ternary forms, giving a list ...

THESE are Nos. 3, 4, and 5 of the Cambridge Tracts in Mathematics and Mathematical Physics, which are intended to help students by providing them with brief and readable introductions to mathematical ...