- #1
TheDominis
- 2
- 0
x3 - 12x + 1 = 0
How does one solve for x?
How does one solve for x?
A cubic function is a type of polynomial function that has the form of f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants. It is called a cubic function because the highest degree of the variable x is 3.
The general method for solving cubic functions involves using a combination of algebraic techniques such as factoring, the quadratic formula, and synthetic division to find the roots or solutions of the function.
A cubic function can have up to three solutions, also known as roots. However, there are cases where the function may have fewer than three solutions, or even no real solutions at all.
A cubic function will have real solutions if the discriminant, which is b^2 - 4ac, is greater than or equal to 0. If the discriminant is less than 0, the function will have complex solutions.
Cubic functions have many real-world applications, such as in physics to model the motion of objects, in economics to analyze supply and demand, and in engineering to design bridges and buildings. They are also commonly used in computer graphics to create 3D shapes.