Answer:
x = -1, x = 1
Step-by-step explanation:
Factor the equation. (It's a difference of squares, so we know the form will be (a-b)(a+b).)
Test this by FOILing it out, if you're unsure. This is something it can be good to memorize!
Set it equal to 0.
Separate the two parenthetical expressions by the Zero Product Property.
Solve for x!
Answer:
The diver will be 8 feet from the end of the board when he hits the water.
Step-by-step explanation:
The diver hits the water when y = 0.
To find the distance, we have to find the values of x when y = 0.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this problem, we have that:
So
Then
It is a horizontal distance, so the answer is a positive value.
The diver will be 8 feet from the end of the board when he hits the water.
