Answer:
Explanation:
To solve the equation graphically, we need to first rearrange it into the form of y = f(x). So, let's simplify the given equation:
(x - 3)² - 2 = x + 1
Expanding the left side:
x² - 6x + 9 - 2 = x + 1
Simplifying:
x² - 7x + 6 = 0
Now we can graph the function y = f(x) = x² - 7x + 6 and the line y = x + 1 on the same coordinate axes and find their intersection points.
Here's a graph of the function and the line:
Graph of y=x^2-7x+6 and y=x+1
We can see that the two curves intersect at two points, which have x-coordinates of approximately 1.2 and 5.8. So, the solutions to the equation are x ≈ 1.2 and x ≈ 5.8.