Question

9х в квадрате-25 больше 0

Answer 1

9х^2-25>0
x^2>25/9
x>5/3
x>-5/3
Вроде так....

Answer 2

To solve the inequality (9x² - 25) > 0, we can factor the expression:

9x² - 25 = (3x - 5)(3x + 5)

Now we have two factors: (3x - 5) and (3x + 5).

For the expression to be greater than zero, we need either both factors to be greater than zero or both factors to be less than zero.

Case 1: Both factors are greater than zero: 3x - 5 > 0 and 3x + 5 > 0

Solving the first inequality: 3x - 5 > 0 3x > 5 x > 5/3

Solving the second inequality: 3x + 5 > 0 3x > -5 x > -5/3

Since we need both conditions to be satisfied, we take the intersection of the solution sets: x > 5/3

Case 2: Both factors are less than zero: 3x - 5 < 0 and 3x + 5 < 0

Solving the first inequality: 3x - 5 < 0 3x < 5 x < 5/3

Solving the second inequality: 3x + 5 < 0 3x < -5 x < -5/3

Again, we take the intersection of the solution sets: x < -5/3

Therefore, the solution to the inequality (9x² - 25) > 0 is: x < -5/3 or x > 5/3.