Given:
The equation is, x² - x-3 = 0.
The objective is to find whether the equation can be factorised or not.
The nature of roots can be calculated using the equation,
![b^2-4ac=0](https://img.qammunity.org/2023/formulas/mathematics/high-school/olq7wwt42xmcwpf6bsxtg4i3fenox9psvr.png)
From the given equation,
![\begin{gathered} a=1 \\ b=-1 \\ c=-3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ed1uguzbe3abgdfiiciry2xcokn3uqhshy.png)
Substitute the values of a, b and c in the general equation.
![undefined]()