To correct this (completing the square) we need to subtract 19, giving \((x + 3)^2 – 19 = 0\). Rearrange this quadratic to get \((x + 3)^2\) alone on the left-hand side by adding 19 to each side.

The quadratic formula for a quadratic equation ... It is not possible to find the square root of a negative number, so the equation has no real solutions. The graph of \(y = x^2 + 2x + 5\) does ...

But he systematically set out word-­form linear and quadratic equations, with algorithmic methods for solving them ... Al-­Khwārizmī’s "completing the square" in order to solve a quadratic ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge – solving higher polynomial ... thanks to the Babylonians' 'method of completing the square', which evolved ...

people have been solving that equation for about 4,000 years. But that’s exactly what he did. Before we look at the new solution, let’s talk about why you want to solve quadratic equations.