Mathomatic version 14.0.4 (www.mathomatic.org)
Copyright (C) 1987-2008 George Gesslein II.
This program is distributed in the hope that it will be useful.
This is free software; see the source for copying conditions.  There is NO
warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

100 equation spaces available, 960 kilobytes per equation space.
HTML color mode enabled.
1—> clear all
1—> ; A semicolon is the line comment character.
1—> ; Equations are entered by just typing them in:
1—> c^2=a^2+b^2 ; The Pythagorean Theorem.

#1: c^2 = (a^2) + (b^2)

1—> ; The entered equation becomes the current equation.
1—> ; The current equation is solved by typing in a variable name:
1—> c ; Solve for c.

                         1
#1: c = (((a^2) + (b^2))^—)·sign1
                         2

1—> ; "sign" variables are two-valued variables and may only be +1 or -1.
1—> b ; Solve for b.

                         1
#1: b = (((c^2) − (a^2))^—)·sign2
                         2

1—> ; To generate C language code, use the code command:
1—> code C
b = (pow(((c*c) - (a*a)), (1.0/2.0))*sign2);
1—> 
1—> code java ; Mathomatic can also generate Java
b = (Math.pow(((c*c) - (a*a)), (1.0/2.0))*sign2);
1—> 
1—> code python ; and Python code.
b = ((((c*c) - (a*a))**(1.0/2.0))*sign2)
1—> 
1—> ; ********************************************************************
1—> a=b+1/b ; enter another equation

            1
#2: a = b + —
            b

2—> solve verify b ; solve for b, verifying the result
Equation is a degree 2 polynomial in b.
Equation was quadratic.

                           1
        (a − ((((a^2) − 4)^—)·sign1))
                           2
#2: b = —————————————————————————————
                      2

Solutions verified.
2—> a ; solve back for a
Equation is a degree 0.5 polynomial in a.
Raising both sides to the power of 2 and unfactoring...

        ((b^2) + 1)
#2: a = ———————————
             b

2—> simplify

            1
#2: a = b + —
            b

2—> ; ********************************************************************
2—> ; Mathomatic is also handy as a calculator.
2—> ; Expressions without variables are instantly evaluated:
2—> 2+3

 answer = 5

2—> 2^.5 ; the square root of 2, rounded to 14 digits:

 answer = 1.4142135623731

2—> ; ********************************************************************
2—> 27^y=9 ; an example that uses numerical logarithms

#3: 27^y = 9

3—> solve verify y ; solve for y, verifying the result

        2
#3: y = —
        3

Solution verified.
3—> ; ********************************************************************
3—> 3*x^2+2*x-5 = 27

#4: (3·(x^2)) + (2·x) − 5 = 27

4—> solve verify x ; solve for x, verifying the result
Equation is a degree 2 polynomial in x.
Equation was quadratic.

                      1
        -1·(2 + ((388^—)·sign1))
                      2
#4: x = ————————————————————————
                   6

Solutions verified.
4—> simplify

                     1
        -1·(1 + ((97^—)·sign1))
                     2
#4: x = ———————————————————————
                   3

4—> calculate ; expand "sign" variables and approximate, prompting for any variables in the RHS

Solution number 1 with sign1 = 1:
 x = -3.616285933932

Solution number 2 with sign1 = -1:
 x = 2.9496192672654

Finished reading file "examples.in".
4—> 
End of input.