Question

Найти нули функции, с решением, пожалуйста!!

Answer 1

Нули функции -это у=0, значит 
(х-1)²(31х-37)(41х-49)=0
х-1=0 или 31х-37=0 или 41х-49=0
х=1            х=37/31           х=49/41
Нули функции: 1;37/31;49/41

Answer 2

Finding the Zeros of a Function

To find the zeros of a function, you need to determine the values of the independent variable (usually denoted as x) for which the function equals zero. These values are also known as the roots or solutions of the equation.

Unfortunately, the specific function you are referring to is not mentioned in your question. However, I can provide you with a general approach to finding the zeros of a function.

1. Graphical Method: One way to find the zeros of a function is by graphing it and identifying the x-values where the graph intersects the x-axis. At these points, the function equals zero. This method is useful for visualizing the behavior of the function and estimating the zeros.

2. Algebraic Methods: There are several algebraic methods to find the zeros of a function, including:

- Factoring: If the function can be factored, you can set each factor equal to zero and solve for x. The solutions will be the zeros of the function.

- Quadratic Formula: For quadratic functions (in the form of ax^2 + bx + c), you can use the quadratic formula to find the zeros. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by x = (-b ± √(b^2 - 4ac)) / (2a).

- Rational Root Theorem: The rational root theorem can be used to find rational zeros of a polynomial function. It states that if a polynomial function has a rational zero p/q, where p is a factor of the constant term and q is a factor of the leading coefficient, then p/q is a zero of the function.

- Numerical Methods: If the function cannot be easily factored or solved algebraically, numerical methods such as the Newton-Raphson method or the bisection method can be used to approximate the zeros of the function.

Please provide more information about the specific function you are referring to, and I can assist you further in finding its zeros.