Question

Illustration 1: Show that there is a root for the
equation x - x -1 = 0) between 1 and 2​

Answer 1

Answer:

There is a root.

Step-by-step explanation:

I assume you meant

${x}^{2} - x - 1 = 0$

We know that this is a continuous function and if you check the value of quadratic at x=1, you get '-1' and when x=2, you get '1'. Thus, there must be an intersection of the graph with x-axis between 1 and 2 and hence, the root exists.