Question

Giai phuong trinh:
3+√(2x-3) =x
giup em em dang can gap a

Answer 1

\(3+\sqrt{2x-3}=x\) (ĐKXĐ: x \(\ge\)1,5)

\(\Leftrightarrow\sqrt{2x-3}=x-3\)

\(\Leftrightarrow2x-3=x^2-6x+9\)

\(\Leftrightarrow-x^2+8x-12=0\)

\(\Leftrightarrow-\left(x^2-8x+12\right)=0\)

\(\Leftrightarrow x^2-6x-2x+12=0\)

\(\Leftrightarrow x.\left(x-6\right)-2.\left(x-6\right)=0\)

\(\Leftrightarrow\left(x-6\right)\left(x-2\right)=0\)

\(\Leftrightarrow\hept{\begin{cases}x=6\\x=2\end{cases}\left(\text{TMĐK}\right)}\)

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