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- .MCD 20000 0
- .CMD PLOTFORMAT logs=0,0 subdivs=1,1 size=5,15 type=l
- .CMD FORMAT rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time charge
- .CMD SET ORIGIN 0
- .CMD SET TOL 0.001000
- .CMD MARGIN 0
- .CMD LINELENGTH 78
- .CMD SET PRNCOLWIDTH 8
- .CMD SET PRNPRECISION 4
- .TXT 1 1 1 40
- a1,40,38,39
- SOLUTION TO GENERAL QUADRATIC EQUATION
- .TXT 2 8 1 26
- a1,26,24,25
- Coefficients as follows:
- .EQN 0 32 1 8
- a:1
- .EQN 0 13 1 9
- b:-3
- .EQN 0 13 1 8
- c:2
- .EQN 2 -32 2 23
- discrim:b^2-4*a*c
- .TXT 1 -26 1 23
- a1,23,21,22
- Compute discriminant:
- .EQN 0 53 1 15
- discrim=?
- .TXT 2 -49 3 67
- a3,67,65,170
- -> If discriminant is positive, both roots real.
- -> If discriminant is negative, roots are complex conjugates.
- -> If discriminant is zero, double root.
- .TXT 4 -4 1 16
- a1,16,14,15
- Compute roots:
- .TXT 0 44 2 26
- a2,26,24,51
- Check ... should be zero
- ------------------------
- .EQN 2 -42 4 21
- x1:(-b+\discrim)/(2*a)
- .EQN 1 43 2 24
- a*x1^2+b*x1+c=?
- .EQN 1 -16 1 10
- x1=?
- .EQN 3 -27 4 21
- x2:(-b-\discrim)/(2*a)
- .EQN 1 43 2 24
- a*x2^2+b*x2+c=?AaΣ"
-
- .EQN 1 -16 1 10
- x2=?
-