| Input interpretation |
|---|
| complete the square | 28 + 10 x + x^2 |
| Result |
| (x + 5)^2 + 3 |
| Geometric figure |
| parabola |
| Polynomial discriminant |
| Delta = -12 |
| Derivative |
| d/dx((x + 5)^2 + 3) = 2 (x + 5) |
| Indefinite integral |
| integral (3 + (5 + x)^2) dx = x^3/3 + 5 x^2 + 28 x + constant |
| Global minimum |
| min{(x + 5)^2 + 3} = 3 at x = -5 |