Draw the graph of y = x² + x and hence solve x² + 1 = 0.

Solution:

The graph of y = x² + x along with x² + 1 = 0.

The graph of x² + 1 is plotted just to reveal how at x =1 both functions are the same or how y = x² + x can give the value of x² + 1 at x = 1.

So at x = 1 the function y = x² + x is y = 1² + 1

and x² + 1 = 1² + 1 at x = 1.

Therefore the graph of y = x² + x also contains one of the values of the graph of x² + 1 hence it helps to solve the function x² + 1 which is (1, 2).

Draw the graph of y = x² + x and hence solve x² + 1 = 0.

Summary:

The graph of y = x² + x has been plotted and hence the solution of x² + 1 = 0 identified as (1, 2).