Chapter 4 Section 8Use the Quadratic Formula

In this assignment, you will be able to...

1.Solve a quadratic equation by using the quadratic formula.

2. Use quadratic formula to model object launched.

Solve the equation by using the quadratic formula.

1.)

Answer:

Original equation

Subtract 2 from both sidesa=1b=3c=-2 Find a, b and c

Plug in a, b and c into the quadratic formula.

Solve

or

or

Solve the equation by using the quadratic formula.

2.)

Answer:

Solve the equation by using the quadratic formula.

3.)

Answer:

Solve the equation by using the quadratic formula.

4.)

Answer: x=-1 or x=5

Solve the equation by using the quadratic formula.

5.)

Answer:

Solve the equation by using the quadratic formula.

6.)

Answer: x=2

Solve the equation by using the quadratic formula.

7.)

Answer:

Solve the equation by using the quadratic formula.

8.) Juggling. A juggler tosses a ball into the air. The ball leaves the juggler's hand 4 feet

above the ground and has an initial velocity of 40 feet per second. The juggler catches the ball when it falls back to the height of 3 feet. How long is the ball in the air? Use

the model launched formula

Answer: 2.5 seconds

Solve the equation by using the quadratic formula.

9.) Basketball. A basketball player passes the ball to a teammate. The ball leaves the

player's hand 5 feet above the ground and has an initial velocity of 55 feet per second.

The teammate catches the ball when it returns to a height of 5 feet. How long is

the ball in the air? Use the model launched formula

Answer: 3.4 seconds

Solve the equation by using the quadratic formula.

10.) Biology. The number S of ant species in Kyle Canyon, Nevada, can be modeled by

the function

where E is the elevation (in meters). Predict the elevation(s) at which you expect

to find 10 species of ants.

Answer:1141 meters , 2090 meters

11.)Find the minimum or maximum value of the

function

Answer: V(-3,15) Max value=15

12.) Solve the equation

by factoring.

Answer: x=5 or x=8