Question

Решите неравенство: (2x – 5)(2x + 5) – ( 2x + 3)2≤ 2

Answer 1

$(2x-5)(2x+5)-(2x+3)^2 leq 2 \ \ 4 x^{2} -25-(4 x^{2} +12x+9) leq 2 \ \ 4 x^{2} -25-4 x^{2} -12x-11 leq 0 \ \ -12x-36 leq 0 \ \ x+3 geq 0 \ \ x geq -3$

x ∈ [ - 3; + ∞)