4ac\), which comes from the quadratic formula ... diagram has two roots. The discriminant can be used in the following way: \({b^2} - 4ac\textless0\) - there are no real roots (diagram 1 ...

The graph of \(y = x^2 + 2x + 5\) does not cross or touch the x-axis so the equation \(x^2 + 2x + 5 = 0\) has no roots. The graph of the quadratic equation \(y = ax^2 + bx + c\) crosses the y-axis ...