Câu 12: Để A là số nguyên thì 3x+2⋮x-3
=>3x-9+11⋮x-3
=>11⋮x-3
=>x-3∈{1;-1;11;-11}
=>x∈{4;2;14;-8}
Câu 13: Để P nguyên thì \(2\sqrt{x}+1\) ⋮\(\sqrt{x}-1\)
=>\(2\sqrt{x}-2+3\) ⋮\(\sqrt{x}-1\)
=>3⋮\(\sqrt{x}-1\)
=>\(\sqrt{x}-1\in\left\lbrace1;-1;3;-3\right\rbrace\)
=>\(\sqrt{x}\in\left\lbrace2;0;4\right\rbrace\)
=>x∈{0;4;16}
Câu 27: \(\frac{3}{1-2x}=\frac{-5}{3x-2}\)
=>\(\frac{3}{2x-1}=\frac{5}{3x-2}\)
=>5(2x-1)=3(3x-2)
=>10x-5=9x-6
=>10x-9x=-6+5
=>x=-1(nhận)
















