Question

x³ - 3x²- 4x+12=0 решите пожалуйста

Answer 1

((x^3)-3(x^2))-(4x-12)=0
x^2×(x-3)-4(x-3)=0
(x-3)((x^2)-4)=0
x=3. x=+-2

Answer 2

Equation: x³ - 3x² - 4x + 12 = 0

To solve the equation x³ - 3x² - 4x + 12 = 0, we can use various methods such as factoring, the quadratic formula, or numerical methods. Let's explore the options.

Factoring

Factoring is a method used to find the roots of a polynomial equation by expressing it as a product of linear factors. However, factoring a cubic equation can be quite complex and may not always be straightforward.

Quadratic Formula

The quadratic formula can be used to solve quadratic equations of the form ax² + bx + c = 0. Unfortunately, the given equation is a cubic equation, not a quadratic equation.

Numerical Methods

Numerical methods, such as the Newton-Raphson method or the bisection method, can be used to approximate the roots of the equation. However, these methods are more suitable for finding approximate solutions rather than exact solutions.

Based on the available information, it seems that there is no simple algebraic method to solve the given cubic equation. It may be necessary to use numerical methods or specialized software to find the roots of the equation.

If you have any additional information or constraints related to the equation, please provide them so that I can assist you further.