# HP Prime for All

**English**Русский

Two brothers inherit land that they want to divide equally between them.
The local land records indicate that the land is bounded roughly by the two functions:

8−6x2 and y=102x−1−8, where `x`

and `y`

are measured in kilometers.

If they choose to put up a fence along a border running north and south, where should they put the fence?

- Enter the functions in
`F1(X)`

and`F2(X)`

- Use Plot or Numeric view to establish that the two boundaries intersect at
`x≈-9.8`

and`x≈7.2`

Use Signed Area to estimate the area of the land to be

`188.37`

km^{2}(18,837 hectares), so each brother should get approximately`94.185`

km^{2}*Optional:*use`Signed Area`

to get a visual estimation of the boundary- Define
`F3(X)`

as follows: F3(X)=∫−9.8XF1(T)−F2(T)δT - Use Plot view to get an estimate (
`x≈-0.7`

) and then use Numeric View to zoom in on the solution:`x≈-0.644`

- What if the brothers wanted an east-west boundary? Estimate where that boundary should be.
- The brothers want to divide the land into thirds; where do the north-south boundaries occur?

In this example, we used the Function app to easily visualize and estimate the solution to a typical classroom problem. In our next example, we extend that power of visualization.