Question

Tìm x thuộc N

\(a,\left(x-9\right)^4=\left(x-9\right)^7\)

\(b,\left(3x-15\right)^{10}=\left(3x-15\right)^{15}\)

\(c,\left(x-8\right)^3=\left(x-8\right)^6\)

cho mik lời giải nhé mik tik cho là lời giải ko phải mỗi đáp án ko đâu nhế

Answer 1

a) \(\left(x-9\right)^4=\left(x-9\right)^7\)

\(\Rightarrow\left[{}\begin{matrix}x-9=1\\x-9=0\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=10\\x=9\end{matrix}\right.\)

b) \(\left(3x-15\right)^{10}=\left(3x-15\right)^{15}\)

\(\Rightarrow\left[{}\begin{matrix}3x-15=0\\3x-15=1\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{3}\\x=\dfrac{16}{3}\end{matrix}\right.\)

c) \(\left(x-8\right)^3=\left(x-8\right)^6\)

\(\Rightarrow\left[{}\begin{matrix}x-8=0\\x-8=1\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=8\\x=9\end{matrix}\right.\)