# Question:cubic equations and odd percent signs

## Question:cubic equations and odd percent signs

Maple

I have been searching for quite sometime, but I cannot find an answer to this.  So at last, I'm posting.

I keep trying to solve this equation below, and this is the outcome I get.  And, I have no idea what the solution means.  I am largely confused by the percentage signs, periods, etc...

-kD

solve(((a-.5*b)*x^3 + (b-1.25*a)*x^2-1.5*a*x-c=0),x);
1/3
0.1666666667 %2        0.1666666667 %3     0.1666666667 (-4. b + 5. a)
------------------ + ------------------- + ---------------------------,
2. a - 1. b                       1/3           2. a - 1. b
(2. a - 1. b) %2

1/3
0.08333333333 %2       0.08333333333 %3     0.1666666667 (-4. b + 5. a)
- ------------------- - ------------------- + ---------------------------
2. a - 1. b                       1/3           2. a - 1. b
(2. a - 1. b) %2

/               1/3                      \
|0.1666666667 %2        0.1666666667 %3  |
+ 0.8660254038 I |------------------ - -------------------|,
|   2. a - 1. b                       1/3|
\                     (2. a - 1. b) %2   /

1/3
0.08333333333 %2       0.08333333333 %3     0.1666666667 (-4. b + 5. a)
- ------------------- - ------------------- + ---------------------------
2. a - 1. b                       1/3           2. a - 1. b
(2. a - 1. b) %2

/               1/3                      \
|0.1666666667 %2        0.1666666667 %3  |
- 0.8660254038 I |------------------ - -------------------|
|   2. a - 1. b                       1/3|
\                     (2. a - 1. b) %2   /

4          3            3           2  2          2  2
%1 := -3267. a  + 2376. a  b + 7980. a  c - 432. a  b  + 5184. a  c

2                  2            2           3            2  2
- 12024. a  c b + 5472. a c b  - 5184. a c  b - 768. b  c + 1296. c  b

2             2         3           2                        2
%2 := -1002. a  b + 456. a b  + 665. a  + 864. c a  - 864. c a b + 216. c b

3         1/2          1/2
- 64. b  + 12. %1    a - 6. %1    b

2                  2
%3 := 97. a  - 76. a b + 16. b

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