1
1
x
2
y D ax 2 C bx C c
8
xD1
x
16
a b c
A
yDa x
Á2
x
D
aD
BC
C
2
;0
Á
E
;0
FG
bD
H
cD
1
IJ
Á
2
2
2
0
9
1
3
10
2
3
3
2
K
6
2
LM
NO
8
PQ
1
3
2
R
6
S
trial
2
1
n
a
x n C y n C z n C a.xy C yz C zx/
aÔ0
x y z
P
x n C y n C z n C a.xy C yz C zx/ D .x C y C z/P
n a
x y z
xCyCz D0
A
xDyD1 zD
B
xDyD
A
Án
B
!n
C
D
D
D
a n
K
nD
H
a
I
E
Á
F
G
K
aD
aD
E
G
a
zD1
C
a
F
D
x y z
a
I
nD
L
!
H
L
P
3
J
x Cy Cz
y D x2
2
2
mD
PQ
Q q ; q2
P p ; p2
PQ
PQ
x
M
M
y
p2 C q2
M
PQD2
.p
q/2 C .p 2
q2/ D
N
pq D t
m
O
m
pq D
1
S
x
m2 C m
P
t2
Q
t
D0
m>0
1
mD
tD
2
R
1
S
p2 C q2 D
M
C
p
tC
!2
1
S
C
T
m
U
pCq D˙
V
˙
the Pythagorean theorem
4
1
Y
X
Z
!
W
m
a
a
5
aD
a2
3
3
A
kC
B
.k
/
C
5
120.3/
3
a
4
DE
10
3
FG
10
10
H
I
a
5
b
< 30
6D
J
0
a2
4
b
a
3
C
5
3
3
0
1
2
3
3
3
10
remainder
the base-3system
three-digit
the decimal system
5
b
I
J
†BAC=60ı
†BAC
ABC
BC
D
AB AC
DE DF
xD
E
AB
4DEF
kD
AC
4ABC
4ABC
k
A
D
x
F
B
ABC
ABD b ACD c
q
dD
DEDDFD
A
B
bc
d
C
D
d2
EF
kD
d2
G
bc
H
D
bc
.b C c/2
I
b
c
kD
BDD 8 BCD 10
4ABD C 4ACD D 4ABC
bCc
4DEF D
xD
D
xD
M
J
K
kD
.x C
N
OP
bisector
6
x
L
/2
C