\(\left(2x-3,5\right)^2+\left(x^2-\dfrac{49}{16}\right)^2=0\)
Vì \(\left(2x-3,5\right)^2\ge0;\left(x^2-\dfrac{49}{16}\right)^2\ge0\)
\(\Rightarrow\left(2x-3,5\right)^2+\left(x^2-\dfrac{49}{16}\right)^2\ge0\)
Mà \(\left(2x-3,5\right)^2+\left(x^2-\dfrac{49}{16}\right)^2=0\)
\(\Rightarrow\left\{{}\begin{matrix}2x-3,5=0\\x^2-\dfrac{49}{16}=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\dfrac{7}{4}\\x=\pm\dfrac{7}{4}\end{matrix}\right.\Rightarrow x=\dfrac{7}{4}\)