Question

Решить подробно надя ^^​

Answer 1

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