# 9.6.2. Solving a Second-Degree Equation in One Unknown Algebraically and Geometrically

A golf player hits a ball to reach a certain hole, and the relation

- A 3.3 seconds
- B 0.75 seconds
- C 6.6 seconds
- D 1.5 seconds

### Example

A golf player hits a ball to reach a certain hole, and the relation

- A 3.3 seconds
- B 0.75 seconds
- C 6.6 seconds
- D 1.5 seconds

### Solution

The ball will hit the ground when the value of

Multiplying by

This equation can be solved using the quadratic formula.

In this example,

The time at which the ball hits the ground will be given by the
positive root. Evaluating on a calculator and rounding to the
required two decimal places gives the solution