Question

Nghiệm của phương trình là \(\sqrt{4x-4}+\sqrt{9x-9}=5\) là

Answer 1

`2sqrt(x-1) + 3sqrt(x-1) = 5`

`-> sqrt(x-1) = 1`

`->` \(\left[{}\begin{matrix}x-1=1\\x-1=-1\end{matrix}\right.\)

`->` \(\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\)

Answer 2

`sqrt(4x-4)+sqrt(9x-9)=5`. `ĐKXĐ: x-1 >=0 <=> x>=1`

`=> 2sqrt(x-1)+3sqrt(x-1)=5`

`=>sqrt(x-1)=1`

`=>`\(\left[\begin{array}{} x-1=1\\ x-1=-1 \end{array} \right.\)

`=>`\(\left[\begin{array}{} x=2\\ x=0 \end{array} \right.\)

Mà `x>=1 => x=2`