Question

16x в квадрате > 169 решение неравенства

Answer 1

16x^2>169
16x^2-169>0
(4x-13)(4x+13)>0

__________(-3,25)____________(3,25)__________
         +                                -                            +
Ответ: (-беск., -3,35) U ( 3,25; + беск.)

Answer 2

To solve the inequality, we need to isolate x on one side of the inequality sign.

Starting with:

16x² > 169

First, we can divide both sides by 16:

x² > 169/16

Taking the square root of both sides, we get:

x > ±√(169/16)

x > ±(13/4)

So the solution to the inequality is:

x > 13/4 or x < -13/4

Therefore, the solution set for the inequality 16x² > 169 is:

{x | x > 13/4 or x < -13/4}