Question

X(x+4)(x+5)(x+9)+96=0

Answer 1

Можноя ттупо раскрыть скобки, что-то вроде 
x(x+4)(x+5)(x+9)+96 = 1x^4 + 18·x^3 + 101·x^2 + 180·x + 96 , получить уравнение 4й степени и его решать (методом разложения на множители): 
x = - √33/2 - 9/2 
x = √33/2 - 9/2 
x = -8 
x = -1

Answer 2

To solve the equation X(x+4)(x+5)(x+9) + 96 = 0, we can start by expanding the equation:

X(x+4)(x+5)(x+9) + 96 = 0

Expanding the product, we get:

X(x^3 + 9x^2 + 14x + 36) + 96 = 0

Distributing X throughout the terms, we have:

X^4 + 9X^3 + 14X^2 + 36X + 96 = 0

Now, we need to solve this quartic equation for X. Unfortunately, there is no general formula to solve quartic equations directly like there is for quadratic equations. However, we can use numerical methods or factoring techniques to find the solutions.

One approach is to use numerical methods, such as the Newton-Raphson method or the bisection method, to approximate the roots of the equation. These methods involve iteratively refining the estimates until a solution is found.

Another approach is to factorize the equation if possible. In some cases, quartic equations can be factored into quadratic equations or lower-degree polynomials, making it easier to solve. However, factoring a quartic equation can be quite challenging and may not always be possible.

Without additional context or constraints, it is difficult to provide exact solutions to this equation. If you provide more information or specify any particular constraints, I may be able to assist you further.