Please answer the red circle part which I'm wrong about. Thanks  "The solution corresponding to the − sign, rounded to two decimal places, is t =......."

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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Please answer the red circle part which I'm wrong about. Thanks 

"The solution corresponding to the − sign, rounded to two decimal places, is

t =......."
A rock is thrown downward, and the distance D, in feet, that it falls in t seconds is given by D = 16t2 + 7t.
Exercise (a)
Find how long it takes for the rock to fall 330 feet by using the quadratic formula.
Step 1
To find when the rock has fallen 330 feet we need to solve the equation 16t + 7t = 330
quadratic formula tells us that the solution of at? + bt +c = 0 is
330
The
-bt V b2
t =
4ac
2a
The first step is to subtract 330 from each side to get
16t2 + 7t - 330 = 0
Step 2
7
Now we apply the quadratic formula with a = 16
|-330
,b =
and c =
-b t V b2 - 4ac
t =
2a
-(7
V )+ V 72 - 4 x 16 x (-330
2 x 16
The solution corresponding to the + sign, rounded to two decimal places, is
t = 4.33
The solution corresponding to the - sign, rounded to two decimal places, is
t = |-4.760
The second of these times has no physical meaning, but from the first we see that it takes the rock
4.33
seconds to fall 330 feet.
Transcribed Image Text:A rock is thrown downward, and the distance D, in feet, that it falls in t seconds is given by D = 16t2 + 7t. Exercise (a) Find how long it takes for the rock to fall 330 feet by using the quadratic formula. Step 1 To find when the rock has fallen 330 feet we need to solve the equation 16t + 7t = 330 quadratic formula tells us that the solution of at? + bt +c = 0 is 330 The -bt V b2 t = 4ac 2a The first step is to subtract 330 from each side to get 16t2 + 7t - 330 = 0 Step 2 7 Now we apply the quadratic formula with a = 16 |-330 ,b = and c = -b t V b2 - 4ac t = 2a -(7 V )+ V 72 - 4 x 16 x (-330 2 x 16 The solution corresponding to the + sign, rounded to two decimal places, is t = 4.33 The solution corresponding to the - sign, rounded to two decimal places, is t = |-4.760 The second of these times has no physical meaning, but from the first we see that it takes the rock 4.33 seconds to fall 330 feet.
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