Question

F(x)=2*x^3 + 3*x^2 - 4 решение

Answer 1

находим производную, получится: 6х^2+6х-0=0

выносим за скобки 6х

6х(х+1) =0

6х=0; х+1=0

х=-1

Answer 2

To find the solution of the equation F(x) = 2x^3 + 3x^2 - 4, we need to set F(x) equal to zero and solve for x. This will give us the values of x where the equation is satisfied. The equation can be written as:

2x^3 + 3x^2 - 4 = 0

Unfortunately, the given equation is a cubic equation, and finding the exact solutions for cubic equations can be complex and involve solving the cubic formula. The general cubic formula is quite lengthy, and it's not straightforward to provide the exact solutions without using specialized software or calculators.

However, I can guide you on how to approximate the solutions using numerical methods such as graphing or using a numerical solver on a calculator or computer. If you have access to a graphing calculator or a mathematical software, you can plot the equation and see where it intersects the x-axis. Those points of intersection are the solutions to the equation.

Alternatively, you can use numerical solvers available in various programming languages or mathematical software like Python (using libraries like SciPy), MATLAB, or Mathematica, which can approximate the solutions for you.

If you have specific values or a range of x-values you want to explore, let me know, and I can help you with the approximations using numerical methods.