+
+Presence of a reduced equation
+
+
The program takes an equation in account or waits for it on the standard
+entry and displays the same equation in its reduced form afterwards. Is
+it the right one ?
+
+
+
+Reduced equation form
+
+
The reduced equation shows the factors until the non null last one, only
+once, and either side of the equation is null.
+
+
+
+Entry management
+
+
Try several entries that have a correct format but might have been ill
+managed (zero or negative or non whole coefficient...). How well does the
+program manage them? (no crash, no calculation error, no infinite loop...)
+IMPORTANT NOTICE: if the answer is NO to either question, the evaluation
+stops.
+
+
+
+0 degree equation after reduction
+
+
Enter a possible equation ("5 * X^0 = 5 * X^0", for instance). Does the
+program tell you that any real number is a solution? Enter an impossible
+equation ("4 * X^0 = 8 * X^0", for instance)? Does the program tell you
+there is no solution?
+
+
+
+First degree equation after reduction
+
+
Enter a fist degree equation ("5 * X^0 = 4 * X^0 + 7 * X^1", for instance).
+Does the program show the solution to the equation?
+
+The program is expected to display:
+
+5 = 4 + 7X ⇒ X = 1/7 ≈ 0.142857
+
+(Note: the reduced form may have a different development,
+but the final result must remain the same.)
+
+Run several tests.
+
+
+
+Second degree equation after reduction - Strictly positive discriminant
+
+
Enter a second degree equation with a strictly positive discriminant
+("5 * X^0 + 13 * X^1 + 3 * X^2 = 1 * X^0 + 1 * X^1", for instance).
+
+Does the program show it has a strictly positive discriminant?
+
+Does it show two solutions?
+
+Are they correct? (here's an example of a possible solution)
+
+X1 = (-12.0 + sqrt(96.0)) / (2 * 3.0)
+X1 = -0.36700683813442847
+
+X2 = (-12.0 - sqrt(96.0)) / (2 * 3.0)
+X2 = -3.632993161865572
+
+(Note: the reduced form may have a different development,
+but the final result must remain the same.)
+
+Run several tests.
+
+
+
+Second degree equation after reduction - Zero discriminant
+
+
Enter a second degree equation with a discriminant equalling O.
+
+("6 * X^0 + 11 * X^1 + 5 * X^2 = 1 * X^0 + 1 * X^1", for instance).
+
+Does the program show it has a 0 discriminant?
+
+Does it show a single solution?
+
+Is it the correct one? (here's an example of a possible solution)
+
+X0 = -10.0 / (2 * 5.0)
+X0 = -1.0
+
+Run several tests.
+
+
+
+Second degree equation after reduction - Strictly negative discriminant
+
+
Enter a second degree equation with a strictly negative discriminant
+("5 * X^0 + 3 * X^1 + 3 * X^2 = 1 * X^0 + 0 * X^1", for instance).
+
+Does the program show it has a strictly negative discriminant?
+
+Does it show two complex solution?
+
+Are they correct? Run several tests.
+
+The result should of course show like this: α + β*i.
+
+(here's an example of a possible solution)
+
+Discriminant is strictly negative, the two solutions are complex:
+real_part: -3.0 / (2 * 3.0)
+imag_part: sqrt(39.0 / (2 * 3.0))
+-0.5 + 1.0408330009701328 * i
+-0.5 - 1.0408330009701328 * i
+
+
+
+Third or more degree equation after reduction
+
+
Enter a third or higher degree equation. The program should refuse to solve
+the equation first. If the program solves it, you can give a score and
+show respect... as long as it doesn't crash. If the reduced equation happens
+to be a second or lower degree equation, the program should be able to
+solve it properly.
+
+
+
+
+