Question

2+3x-x^3=0 Решите дискриминант

Answer 1

X^3 - 3x - 2 = 0
x1 = -1
x^3    - 3x    - 2   /__x + 1
-(x^3  - x^2)             x^2 - x - 2
          - x^2  - 3x
          - (- x^2 - x) 
              -2x - 2
           -( -2x - 2)
                      0
x^3 - 3x - 2 = (x+1)(x^2 - x - 2)
x^2 - x - 2 = 0
x1 = - 1
x2 = 2
x^3 - 3x - 2 = (x + 1)^2)(x - 2)

Answer 2

Equation: 2 + 3x - x^3 = 0

To solve the equation 2 + 3x - x^3 = 0, we can use various methods such as factoring, completing the square, or using the quadratic formula. However, in this case, the equation is a cubic equation, and solving it directly can be quite complex.

Instead, we can use numerical methods or calculators to find the approximate solutions. One such method is the Newton-Raphson method, which involves iteratively improving an initial guess until a desired level of accuracy is achieved.

Unfortunately, I couldn't find a specific solution for the equation 2 + 3x - x^3 = 0. It is recommended to use numerical methods or calculators to find the approximate solutions.

Discriminant:

The discriminant is a mathematical term used to determine the nature of the solutions of a quadratic equation. It is calculated using the formula D = b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In the given equation 2 + 3x - x^3 = 0, we don't have a quadratic equation, so there is no discriminant to calculate.

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