Question

5x^2-6≤0решение и ответ надо​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To find the solution to the inequality 5x^2 - 6 ≤ 0, we can follow these steps:

Step 1: Set the expression equal to zero. 5x^2 - 6 = 0

Step 2: Solve the equation. 5x^2 = 6 x^2 = 6/5 x = ±√(6/5)

Step 3: Determine the sign of the expression in each interval. To determine the sign of 5x^2 - 6, we can use test points or observe the behavior of a parabola.

Let's consider x = 0, x = 1, and x = -1 as test points.

For x = 0: 5(0)^2 - 6 = -6 (negative)

For x = 1: 5(1)^2 - 6 = -1 (negative)

For x = -1: 5(-1)^2 - 6 = -1 (negative)

From the test points, we can see that the expression 5x^2 - 6 is negative for all x values.

Step 4: Write the solution. Since we want 5x^2 - 6 to be less than or equal to zero, the solution is the set of x values where the expression is less than or equal to zero.

Therefore, the solution to the inequality 5x^2 - 6 ≤ 0 is: x ∈ (-∞, √(6/5)] ∪ [-√(6/5), ∞)