Question

36x-5-36xalcuadrado≥0

Answer 1

36x - 5 - 36x² ≥ 0

36x² - 30x -6x + 5 ≤ 0

6x (2²⁻¹ . 3²⁻¹ . x²⁻¹ - 5) + (-6x + 5) ≤ 0

6x (6x - 5) + (-6x + 5) ≤ 0

(6x - 5) (6x - 1) ≤ 0

6x - 5 = 0

6x - 1 = 0

6x = 5

6x = 1

6x/6 = 5/6

6x/6 = 1/6

x = 5/6

x = 1/6

x ≤ 1/6

1/6 ≤ x ≤ 5/6

x ≥ 5/6

36x - 5 - 36x² ≥ 0

36 (-1)  - 5 - 36 (-1)² ≥ 0

-36 - 5 - 36 ≥ 0

1/3 ≤ x ≤ 5/6

Respuesta : 

x ∈ [1/6, 5/6]