Question

X^4-3x^3+6x-4 =0 с решением пожалуйста

Answer 1

x^4-3x^3+6x-4 =0
x^4-4-3x(x^2-2)=0
(x^2-2)(x^2+2)-3x(x^2-2)=0
(x^2-2)(x^2-3x+2)=0
(x-2^1/2)(x+2^1/2)(x-1)(x-2)=0
x=1,2, 2^1/2, -2^1/2

Answer 2

Solving the Equation X^4-3x^3+6x-4=0

To solve the equation X^4-3x^3+6x-4=0, we can use various methods such as factoring, the quadratic formula, or graphing to find the solutions. Let's explore the possible solutions using the information available.

Factoring the Equation

Factoring the given equation might help us find its solutions. However, if factoring is not straightforward, we can use other methods to solve the equation.

Using the Quadratic Formula

If we rearrange the equation into a quadratic form, we can use the quadratic formula to find the solutions. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions are given by: x = (-b ± √(b^2 - 4ac)) / (2a).

Graphing the Equation

Graphing the equation can also provide insights into its solutions. By plotting the function f(x) = X^4-3x^3+6x-4 and analyzing its behavior, we can determine the x-values where the function intersects the x-axis, which represent the solutions to the equation.

Let's explore the available information to determine the solutions to the given equation.

Possible Solutions

Based on the available information, we have snippets related to quadratic equations and their solutions. While these snippets provide information about specific quadratic equations, they do not directly address the given quartic equation X^4-3x^3+6x-4=0.

Given the complexity of the quartic equation, it may require a more detailed analysis or the use of numerical methods to find its solutions. If you have specific values for X or additional context for the equation, please provide them for a more targeted approach to finding the solutions.

In summary, the available snippets provide information about quadratic equations and their solutions, but they do not directly address the solutions to the given quartic equation X^4-3x^3+6x-4=0. Further analysis or additional context may be needed to determine the solutions to this specific equation.