4. Which of the following results in a number
with both a real and an imaginary part?
NO A. (3 + 2i)(3
0(5H)
- 2i)
7. Determine the number and types of
solutions for each quadratic equation.
9 ~ '\' ~ ~ - '1 ~1r
q
2i)(3 + 4i) \
4:-~1 ~
e, ~"2.0;" -'c;"
'Z
.I,
A. 9x2 + 7x = 6
\~
...'7 ' "l
\c~
Number: ~
c,y~ 1x-b~{,)
Ltl- ~,(~J(-~) ".:Ll~-l-
K ~(\, I
Type:
";;.1.(,')
ell,
C. (-7+4i)-(-7+5i)
0"- s;. -: - "
-;?' ~'1'
B. ~
.1
(9 - Bi) + (4 + Bi)
NOD.
9 - t"t'
.\0,
\;
~;.,.
-:
A. 12x2.:.... 5
\2 ",,1. -
=
-3
-::
0
"Z..
o-
_
-\
;()
Type:
It ( - )( ~ I)
'R it:.. \
-
~~
S
~
Determine if each quadratic equation has
real solutions. Choose Yes or No.
-
'l..
SX
Number: ~
+B = 9
X2
OYes
ONo
0 .. '-\(,"'\(-'2\
C. 3(x2 - 4)
;,) Xl
- \).
-:
=
2X2 + 3 Number: ~
2..,..' ~
s
Type:
«~'"\
0 - i.t ( IJ(~ I$.)
bo
';
x..').-\~~a
"'" q to "0
@Yes
D. 5 + 3x2
ONo
= 7x
2 -
10 Number: ~
.4~:l.-\$:'()
() - \ ('; )(- '-\ ':. '3 '?b
Type:
0- L,(l.tj(-
~c.
)
co
2l.£0
")
C. 2(x2 - 3) = 3(2x2 + 1)
1.."f,,')--~': ~'y.~.l,.)
-t~
_~~~t.lr~
*
_~
\
( ': - \~
~"f.
,
4(3x2
). 1 _
C\~l.
-
\.~I)
7)
•
-
.lrlt,)(
3(x2 - 5)
0
- ~~U
~-l
Z. b
=
)I. i
- \
.0 Yes
St.
cq."'70
-
.""'-
lot (~')(
0 No
¥
\)
)
1O. (2 + 3i)(2 - 3i)
_~~t
Lt-b~.\~\
-:.
LI~e;
':11
t
•• Lt~
O~
A 44 feet
?i~
\ '2..l 'Z1..1 + ~ ~ 1.. - \)11 - 4 - S ~
";
.\.
-
•
o-\.t)
bO~ _ "i (-II,,) l~'t
1
"I(S\(\QI
() -
Syt
l %.
- \~
_
-
I
6. A tennis ball is hit with an initial vertical
velocity of 60 ft/s. The function
h(t) = -16t2 + 60t + 2 models the height h
(in feet) of the tennis ball at time t (in
seconds). Does the ball reach each of the
following heights? Choose Yes or No.
~1''<:I~t.\
<:.> -=-
\ (;~ -2.~ 1\
No
@
9. (6 + 3i)(2i - 4) - (4 + 5i).
\
'" \
f)::
'1..
-Ss;:.. -~. ~
+~L~
L
0 Yes
:: ~)<.t.\-~
~\
-
(-4 + 11/)(-5 - B/).
z(.),),.a8-Z~:"
: .• \'-1 \;
.~
_\
E.
'70
= Bx2 + 9
'l
For 8-11, perform the indicated operation
B.
~'"
3,Xi -1
~ No
-
-1)(
D.
0 Yes
B 52 feet
@
C 60 feet
I;, o -:. _, \, ~ -e,
4
C> -:
ONo
Yes
ONo
bo l
11. (3i-4)+(17i+12)
~ ~ -'1
.I.
\i;'"
-\ \'-
o No
0 Yes
~ 100 '"
~\I..It.:"'Z-.\-
Original content Copyright
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of the instructor.
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