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\(3x^2 = 48\) is an example of a quadratic equation that can be solved simply. If \((x + 1)(x + 2) = 0\), then \(x + 1 = 0\) or \(x + 2 = 0\), meaning \(x = -1\) or ...
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 \(\left(x + \frac{b}{2}\right)^2 + c\).
Ah, math. Take an easy problem we all studied in our teens, scale it up by just a couple of steps, and suddenly you’re facing ...
Everyone learns (and some readers maybe still remember) the quadratic formula. It’s a pillar of algebra and allows you to solve equations like Ax 2 +Bx+C=0. But just because you’ve used it ...
New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – ...
For centuries, one of algebra’s oldest puzzles has remained unsolved—how to find exact answers for higher-degree polynomials, ...
A UNSW professor claims that a long-standing algebra problem can be solved with a new method that avoids irrational numbers.
“The Catalan numbers are understood to be intimately connected with the quadratic equation,” explained Wildberger. “Our innovation lies in the idea that if we want to solve higher equations ...
A mathematician from UNSW Sydney has innovatively used new number sequences to solve algebra's oldest problem - higher ...