Question

15 x в квадрате -34x+15 >-0

Answer 1

Ответ:

x ∈ (-∞; 0,6) U (2 2/3; +∞)

Пошаговое объяснение:

15x² - 34x + 15 > 0

D = 1156 - 900 = 256 = 16²

x1 = (34 - 16)/30 = 18/30 = 0,6

x2 = (34 + 16)/30 = 5/3 = 2 2/3

x ∈ (-∞; 0,6) U (2 2/3; +∞)

Answer 2

Ответ:

Пошаговое объяснение:

Смотрите решение ниже.фото

Answer 3

To solve the inequality 15x² - 34x + 15 > 0, we can use the method of factoring or the quadratic formula. Let's factor the quadratic expression first:

15x² - 34x + 15 > 0

The factors of 15 are 1, 3, 5, and 15. Let's find two numbers whose product is 15 and whose sum is -34. The numbers are -1 and -15:

15x² - 34x + 15 = (5x - 1)(3x - 15) > 0

Now we have factored the quadratic expression. To solve the inequality, we need to determine the sign of each factor and find the intervals where the expression is greater than zero.

For (5x - 1) > 0: 5x - 1 > 0 5x > 1 x > 1/5

For (3x - 15) > 0: 3x - 15 > 0 3x > 15 x > 5

So the solution to the inequality 15x² - 34x + 15 > 0 is x > 5 or x > 1/5.