Where does the graph of x² - x - 2 = y cross the x-axis?

Solution:

Given, the graph x² - x - 2 = y --- (1)

When the line crosses the x axis, y = 0

We are required to find the x-intercepts

x² - x - 2 =0

By factoring, we get,

(x - 2)(x + 1) = 0

Solving for x, we get,

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = -1

x = 2, -1

Putting the x value(s) in (1)

x² - x - 2 = y

(2)² - 2 - 2 = y

y = 0

(-1)² - (-1) - 2 = y

y = 0

Therefore, the points are A(-1, 0) and B(2, 0).

---

Where does the graph of x² - x - 2 = y cross the x-axis?

Summary:

The graph of x² - x - 2 = y crosses the x-axis at two points A(-1, 0) and B(2, 0).