Draw the graph of y = x² and hence solve x² – 4x – 5 = 0.

We are given y = x²

So taking the values of X in between –2 and 5 we can find various value of y and put them in graph.

Now in the eqution we are given that

x² – 4x – 5 = 0

we know from the first expression that y = x² so putting this value in the above equation we will find

x² – 4x – 5 = 0

⇒ y–4x–5 = 0

⇒ y = 4x + 5

Now taking the values of X in between –1 and 3 we can find another set of values for y and can put them in the graph to find the solution for the eqution.

Now we can draw the graph

Here the lines intersects each other at (–1, 1) and (5,25) so the two roots for the equation is (–1,5)