Question

Tìm x

( x - 5 )⁴=( x - 5 )⁶

(2x - 15)⁵=( 2x - 15)³

Các bạn nhớ gửi cả lời giải nhé

Answer 1

a: \(\left(x-5\right)^6=\left(x-5\right)^4\)

\(\Leftrightarrow\left(x-5\right)^4\cdot\left[\left(x-5\right)^2-1\right]=0\)

\(\Leftrightarrow\left(x-5\right)^4\cdot\left(x-4\right)\left(x-6\right)=0\)

hay \(x\in\left\{5;4;6\right\}\)

b: \(\left(2x-15\right)^5=\left(2x-15\right)^3\)

\(\Leftrightarrow\left(2x-15\right)^3\left(2x-16\right)\left(2x-14\right)=0\)

hay \(x\in\left\{\dfrac{15}{2};8;7\right\}\)