04
Solutions to quadratic equations
The solutions to the quadratic equation
2
±
–
b
b
x
=
--------------------------------------
2a
In particular, when
when
when
ON
MODE
MODE
?→ A:?→ B:?→ C:B
÷2 A → M:M
i) Find solutions to the equation
Prog
1
EXE
2
4
EXE
EXE
1
6
EXE
–
4ac
2
b
–
4ac
>
0
two real solutions exist,
2
b
–
4ac
0
=
there is just one real solution and
2
b
–
4ac
<
0
there are two complex solutions
MODE
2
-4 AC =0⇒ Goto 1: (- B -√(B
Lbl 1: (- B +√ (B
2
2x
–
2
ax
+
bx
+
c
=
0
PRGM
CMPLX
1
MODE
2
-4 AC) ) ÷2 A → M:M < 70 STEP >
(
4x
–
16
=
0
x
=
S A
S A
S A
S A
M
S A
M
are given by the formula:
2
1
)
–
2 4 ,
.
CMPLX
P1 P1 P2 P3 P4
CMPLX
P1 P1 P2 P3 P4
CMPLX
P1 P1 P2 P3 P4
CMPLX
P1 P1 P2 P3 P4
CMPLX
P1 P1 P2 P3 P4
2
-4 AC) )
D R
G
D R
G
D R
G
D R
G
Disp
D R
G
<>
7