Question

Что такое корень уравнения ? и привидите пример

Answer 1

Корень уравнения это значение переменной Х
Например:
x+2=5
x=5-2
x=3
Число "3" это корень уравнения

Некоторые уравнения имеют несколько корней
Например:
$x^2=4$
тут х может принимать два значения "-2" и "2"

Answer 2

What is the root of an equation?

The root of an equation is a value that, when substituted for the variable(s) in the equation, makes the equation true. In other words, it is a value that satisfies or "solves" the equation.

For example, consider the equation:

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

To find the root(s) of this equation, we set it equal to 0 and solve for x:

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

Using the quadratic formula, we find that the two roots of this equation are x = 2 and x = 2. So 2 and 2 are the roots.

Example of finding the root of a quadratic equation

Let's look at an example of finding the root of a quadratic equation:

`x^2 - 6x + 8 = 0`

To solve this using the quadratic formula:

`x = (-b ± √(b^2 - 4ac)) / 2a`

Where: a = 1 b = -6 c = 8

Plugging into the formula:

`x = (-(-6) ± √((-6)^2 - 4(1)(8))) / 2(1)` `x = (6 ± √(36 - 32)) / 2` `x = (6 ± √4) / 2` `x = (6 ± 2) / 2` `x = 4, 2`

Therefore, the roots of the equation `x^2 - 6x + 8 = 0` are 4 and 2.