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5.5 The Quadratic Formula
Algebra 2
27
5.5 THE QUADRATIC FORMULA
Learning Targets:
1.
Use the quadratic formula to solve
2
0
ax
bx
c
.
2.
Use projectile motion equation
2
00
16
h
t
vt h
to find when a projectile hits the ground.
3.
Understand the relationship between the solutions to a quadratic equation and the
x
intercepts of the parabola.
4.
Use the discriminant to determine the number of solutions to an equation.
Example 1
:
Use completing the square to solve the equation
2
0
ax
bx
c
.
The solution to example 1 is known as the quadratic formula.
___________________________________
Example 2
:
Use the quadratic formula to solve the following equations:
a)
2
5
14
0
xx
b)
2
14
10
c)
2
3 6 75
The height of a projectile can be modeled by the equation
2
16
h
t
,
where
0
v
= initial velocity and
0
h
= initial height.
If an object is dropped then
0
v
= 0.
If an object is launched from the ground,
0
h
= 0.
Example 3
:
Wile E. Coyote, once again trying to catch the Road Runner, waits for the nastily speedy
bird atop a 900 foot cliff.
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This note was uploaded on 04/11/2011 for the course MATH 1100 taught by Professor Staff during the Spring '08 term at North Texas.
 Spring '08
 staff
 Quadratic Formula

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