Question

Помогите с алгеброй 21 балл

Answer 1

$sqrt[5]{x} +2sqrt[10]{x} -8leq 0\(a+b)^2=a^2+2ab+b^2\\sqrt[5]{x} +2sqrt[10]{x} +1-9leq 0\(sqrt[10]{x} +1)^2-9leq 0\a^2-b^2=(a-b)(a+b)\(sqrt[10]{x} +1-3)(sqrt[10]{x} +1+3)leq 0\left { {{sqrt[10]{x}+1-3 leq 0} atop {x>0}} right. \left { {{sqrt[10]{x} leq 2} atop {x>0}} right. \\0<xleq 2^{10}$