Question

решение неравенство (9х-7)^2-10<(9x+3)(9x-5)

Answer 1

(9х - 7)² - 10 < (9x + 3)(9x - 5),

81х² - 126х + 49 - 10 < 81x² - 45x + 27 x - 15,

81х² - 126х + 39 < 81x² - 18x - 15,

81x² - 126x - 81x² + 18x < -13 - 39,

-108x < - 54,

x > -54 : (-108),

x > 1/2,

х ∈ (1/2; +∞).

Ответ: (1/2; +∞).