Question

3x²=27-решить уравнение​

Answer 1

Ответ:

x₁ = 3; x₂ = -3.

Пошаговое объяснение:

3x²=27 | :3;

x² = 27 : 3;

x² = 9;

x = ±√9;

x₁ = 3;

x₂ = -3;

Answer 2

привет) надеюсь понятно

Answer 3

To solve the equation 3x² = 27, we need to isolate the variable x. Follow these steps to find the value(s) of x:

Step 1: Move the constant term to the other side of the equation.

3x² - 27 = 0

Step 2: Factor out the greatest common factor (GCF) if possible. In this case, we can factor out 3:

3(x² - 9) = 0

Step 3: Now, we have a difference of squares on the right side. We can factor it further:

3(x + 3)(x - 3) = 0

Step 4: Apply the zero-product property, which states that if a * b = 0, then either a = 0 or b = 0.

Set each factor equal to zero:

1. x + 3 = 0
2. x - 3 = 0

Step 5: Solve for x in each equation:

1. x + 3 = 0 x = -3

2. x - 3 = 0 x = 3

The solutions to the equation are x = -3 and x = 3.