Question

Решите уравнение: х в кубе=4х в квадрате+5хСпасибо за ранее)

Answer 1

Х в кубе - 4 х в квадрате - 5х=0
х(х в квадрате - 4х - 5)=0
х=0;     х в квадрате - 4х - 5=0
            D=b в квадрате - 4ас
            D= 16 + 20=36
             х первое=5
             х второе=-1

Answer 2

Solving the Cubic Equation

To solve the equation x^3 = 4x^2 + 5x, we can start by rearranging the equation to set it to zero:

x^3 - 4x^2 - 5x = 0

Now, we can attempt to factorize the equation or use other methods to solve for the values of x. Let's proceed with solving the equation.

Factoring the Cubic Equation

To factorize the cubic equation, we can look for a common factor among the terms. In this case, we can factor out an x:

x(x^2 - 4x - 5) = 0

Now, we have factored the equation into two parts: x = 0 and x^2 - 4x - 5 = 0.

Solving for x

We can solve the second part of the equation, x^2 - 4x - 5 = 0, using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Where a = 1, b = -4, and c = -5.

Plugging these values into the quadratic formula, we get:

x = (4 ± √((-4)^2 - 4*1*(-5))) / (2*1)

x = (4 ± √(16 + 20)) / 2

x = (4 ± √36) / 2

This gives us two possible solutions for x:

x = (4 + 6) / 2 = 10 / 2 = 5

x = (4 - 6) / 2 = -2 / 2 = -1

So, the solutions to the equation x^3 = 4x^2 + 5x are x = 0, x = 5, and x = -1.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.