A projectile was fired from a mortar cannon along a pathway that follows the relation , where represents the horizontal
distance covered by the projectile in kilometers, and represents the projectile's height above the ground in kilometers. Determine the horizontal
distance covered by the projectile from the moment it was fired until it hit the ground.
The end of the projectile's journey occurs when its height above the ground is equal to 0 (when ).
To find the horizontal distance at this point, first set equal to 0.
Multiplying by to obtain a positive coefficient of gives
This equation can be solved using the quadratic formula
In this example, , , and . Therefore,
The possible values of are therefore or 1.
As represents a horizontal distance, it must have a positive
value. Therefore, the horizontal distance covered by the projectile