Save guides, add subjects and pick up where you left off with your BBC account. A quadratic equation is drawn as a curve on a set of axes. This type of curve is called a parabola and it is ...

Say you allow your Diophantine equations to have complex solutions (numbers that can be written with real and imaginary parts ... called a quadratic twist — something they’d been studying for the ...

For instance, I mentioned Al-­Khwārizmī’s "completing the square" in order to solve a quadratic equation. It's actually a 4,000-­year-­old problem, dating back (as far as the historical ...