03212018, 06:50 AM
The program calculates the real or complex solutions of a quadratic equation.
aX^2 + bX + c = 0
c [ENTER] > b [ENTER] > a > [LBL A] briefly shown [+] or [] solution.
If Positive (+) then two real solutions with R/S for second answer.
If Negative () then two complex solutions with X<>Y for complex of +,
Program:
Example:
1) 2x^2 + 5x + 3 = 0
3 ENTER 5 ENTER 2 [A] > 0.0625 (Show briefly with positive) so the solutions are real:
Answer: 1.5 > [R/S] > 1
X={1.5, 1}
2) 2x^2 + 3x + 4 = 0
4 ENTER 3 ENTER 2 [A] > 1.4375 (Show briefly with negative) so the solutions are complex:
Answer: 0.75 > [X<>Y] > 1.1990 round to 1.2
x1 = 0.75 + 1.2i
x2 = 0.75  1.2i
3) Here are examples of quadratic equations lacking the linear coefficient or the “bX”:
6x² + 144 = 0
144 ENTER 0 ENTER 6 [A] > 24 (Briefly show negative) solution are complex:
Answer: 0 > [X<>Y] > 4.8990
x1 = 4.8990i
x2 = 4.8990i
x² – 16 = 0
16 CHS ENTER 0 ENTER 1 [A] > (Briefly show positive) solution are real.
Answer: 4 > [R/S] > 4
x={4, 4}
4) Here are examples of quadratic equations lacking the constant term or “c”:
2x² + 8x = 0
0 ENTER 8 ENTER 2 [A] > (Briefly show positive) real solution.
Answer: 4 [R/S] > 0
x={0, 4}
Gamo
aX^2 + bX + c = 0
c [ENTER] > b [ENTER] > a > [LBL A] briefly shown [+] or [] solution.
If Positive (+) then two real solutions with R/S for second answer.
If Negative () then two complex solutions with X<>Y for complex of +,
Program:
Code:
LBL A
LBL 1
ENTER
Rv
/
2
/
CHS
ENTER
X^2
Rv
Rv
X<>Y
/
STO 0

PSE
X<0
GTO 1
SQR
X<>Y
X<0
GTO 2
+
GTO 3
LBL 2
X<>Y

LBL 3
R/S
1/x
RCL 0
x
RTN
LBL 1
CHS
SQR
X<>Y
R/S
Example:
1) 2x^2 + 5x + 3 = 0
3 ENTER 5 ENTER 2 [A] > 0.0625 (Show briefly with positive) so the solutions are real:
Answer: 1.5 > [R/S] > 1
X={1.5, 1}
2) 2x^2 + 3x + 4 = 0
4 ENTER 3 ENTER 2 [A] > 1.4375 (Show briefly with negative) so the solutions are complex:
Answer: 0.75 > [X<>Y] > 1.1990 round to 1.2
x1 = 0.75 + 1.2i
x2 = 0.75  1.2i
3) Here are examples of quadratic equations lacking the linear coefficient or the “bX”:
6x² + 144 = 0
144 ENTER 0 ENTER 6 [A] > 24 (Briefly show negative) solution are complex:
Answer: 0 > [X<>Y] > 4.8990
x1 = 4.8990i
x2 = 4.8990i
x² – 16 = 0
16 CHS ENTER 0 ENTER 1 [A] > (Briefly show positive) solution are real.
Answer: 4 > [R/S] > 4
x={4, 4}
4) Here are examples of quadratic equations lacking the constant term or “c”:
2x² + 8x = 0
0 ENTER 8 ENTER 2 [A] > (Briefly show positive) real solution.
Answer: 4 [R/S] > 0
x={0, 4}
Gamo