Question

a) Tim x: 5¹⁰ \(⋮\) 25^x

b) Tim x,y thuoc N:

(y - 2)(2x - 1) = 35

Answer 1

a: \(\Leftrightarrow5^{10}⋮5^{2x}\)

\(\Leftrightarrow2x\in\left\{1;2;5;10\right\}\)

hay \(x\in\left\{\dfrac{1}{2};1;\dfrac{5}{2};5\right\}\)

b: \(\Leftrightarrow\left(2x-1;y-2\right)\in\left\{\left(1;35\right);\left(5;7\right);\left(7;5\right);\left(35;1\right)\right\}\)

hay \(\left(x,y\right)\in\left\{\left(1;37\right);\left(3;9\right);\left(4;7\right);\left(18;3\right)\right\}\)