Question

Решить подробно надя ^^​

Answer 1

$\Big ((x+3)\cdot |x-25|\Big )^2\leq (3x+19)(x-25)^2\\\\(x+3)^2\cdot |x-25|^2\leq (3x+19)(x-25)^2\\\\\star \; \; |a|^2=a^2\; \; \star \\\\(x+3)^2\cdot (x-25)^2-(3x+19)(x-25)^2\leq 0\\\\(x-25)^2\cdot \Big((x+3)^2-(3x+19)\Big )\leq 0\\\\(x-25)^2\cdot (x^2+6x+9-3x-19)\leq 0\\\\(x-25)^2\cdot (\underbrace {x^2+3x-10}_{x_1=2,\; x_2=-5})\leq 0\\\\(x-25)^2\cdot (x-2)(x+5)\leq 0\\\\znaki:\; \; +++[-5\, ]---[\, 2\; ]+++[25\, ]+++\\\\x\in [-5;2\, ]\cup \{25\}$