If a quadratic ... one solution to the equation, \( x = 3\). The graph of \(y = x^2 - 6x + 9 \) touches the x-axis at \( x = 3\). It is not possible to find the square root of a negative number ...

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

Babylonians, in particular, would solve simultaneous equations to find the roots of a quadratic ... That’s 3.48 (about) and the square root is about 1.866. The roots, then, are 1.5625±1. ...