x cube plus kx plus 9=0 give me answer

Lemme get this straight... is this the problem?

x^3+kx+9=0

If so.........

x^3+kx+9=0

Subtract 9 from both sides (Somenoe correct me if I'm wrong, please) which looks like:

x^3+kx+9-9=0-9
Now the best part.... finding variables

x^3+kx=9

x^3+(k•x)=9
Hmmm...

x^3= (x•x•x)

x•x•x•x+k=9

I'm not sure how to proceed....

To find the values of x that satisfy the equation x^3 + kx + 9 = 0, you can use a numerical or algebraic method:

1. Numerical method: You can use numerical computation methods, such as graphing calculators or computer software, to solve the equation. By substituting different values for k and solving the equation, you can find the corresponding values of x.

2. Algebraic method: If you want to find the exact solutions, you can use algebraic techniques. However, note that finding the exact solutions to a cubic equation can be complex and may require advanced mathematical methods.

One commonly used approach is Cardano's method, which involves using substitution and solving the resulting quadratic equation. However, it can be quite cumbersome and may not yield simple solutions.

Another approach is to use rational roots theorem or synthetic division to look for rational (fractional) roots of the equation. This can simplify the problem by reducing it to a quadratic equation, which is easier to solve.

Once you have found the rational roots, you can apply the quadratic formula or factoring techniques to solve the quadratic equation.

Keep in mind that the specific value of k will determine the nature and complexity of the solutions. Therefore, it is necessary to know the value of k or any further constraints to provide an accurate answer.