Question

X^3-9x=0найдете корни уравнения​

Answer 1

х(х^2 - 9) = 0

х = 0 и х^2 = 9

х^2 = 9 => х = 3 и -3

ответ: х = 0; 3; -3

Answer 2

To find the roots of the equation x^3 - 9x = 0, we need to solve for x when the equation is equal to zero.

x^3 - 9x = 0

We can factor out the common term x from the equation:

x(x^2 - 9) = 0

Now, we have a product of two terms equal to zero. According to the zero product property, for the product to be zero, at least one of the factors must be zero.

1. x = 0

Now, let's solve for the second factor:

2. x^2 - 9 = 0

We can further factor the quadratic equation:

x^2 - 9 = (x + 3)(x - 3) = 0

Now, we have two equations:

1. x + 3 = 0 x = -3

2. x - 3 = 0 x = 3

So, the roots of the original equation x^3 - 9x = 0 are x = 0, x = -3, and x = 3.