Question

РЕШИТЕ НЕРАВЕНСТВО 16X^2 - 121 <= 0 ребятки помогите плиз целый день просидел и ничего не высидел.

Answer 1

16X^2 - 121 ≤ 0 
( 4X - 11 )*( 4X + 11 ) ≤ 0
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4X - 11 ≤ 0 
4X ≤ 11 
X ≤ 2,75 
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4X + 11 ≤ 0 
4X ≤ - 11
X ≤ - 2,75 
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X ∈ [ - 2,75 ; 2,75 )

Answer 2

Solving the Inequality 16X^2 - 121 <= 0

To solve the inequality 16X^2 - 121 <= 0, we can use the following steps:

1. Identify the Quadratic Inequality: The given inequality is a quadratic inequality in the form ax^2 + bx + c <= 0.

2. Factor the Quadratic Expression: First, we can factor the quadratic expression 16X^2 - 121 to simplify the inequality.

The expression 16X^2 - 121 can be factored as (4X + 11)(4X - 11).

3. Find the Critical Points: To find the critical points, we set the factors equal to zero and solve for X.

Setting (4X + 11) = 0 gives X = -11/4, and setting (4X - 11) = 0 gives X = 11/4.

4. Use the Critical Points to Test Intervals: We can use the critical points to test the intervals and determine the solution to the inequality.

- Test the interval to the left of -11/4. - Test the interval between -11/4 and 11/4. - Test the interval to the right of 11/4.

5. Determine the Solution: Based on the tests of the intervals, we can determine the solution to the inequality 16X^2 - 121 <= 0.

Let's proceed with these steps to find the solution.