a) \(\left(x+3\right)^2-\left(2x+1\right).\left(2x-1\right)=22\)
\(\Leftrightarrow x^2+6x+9-\left(4x^2-1\right)=22\)
\(\Leftrightarrow x^2+6x+9-4x^2+1=22\)
\(\Leftrightarrow-3x^2+6x-12=0\)
\(\Leftrightarrow x^2-2x+4=0\)
\(\Leftrightarrow\left(x^2-2x+1\right)+3=0\)
\(\Leftrightarrow\left(x-1\right)^2+3=0\)(vô lý)

b)   \(\left(4x+3\right)\left(4x-3\right)-\left(4x-5\right)^2=46\)
\(\Leftrightarrow16x^2-9-\left(16x^2-40x+25\right)=46\)
\(\Leftrightarrow16x^2-9-16x^2+40x-25-46=0\)
\(\Leftrightarrow40x-80=0\)
\(\Leftrightarrow x=2\)

vì \(\left(4x^2-4x+1\right)^{2022}\ge0\left(\forall x\right)\),\(\left(y^2-\dfrac{4}{5}y+\dfrac{4}{25}\right)^{2022}\ge0\left(\forall y\right)\),\(\left|x+y+z\right|\ge0\)

mà \(\left(4x^2-4x+1\right)^{2022}+\left(y^2+\dfrac{4}{5}y+\dfrac{4}{25}\right)^{2022}+\left|x+y-z\right|=0\)

=>\(\left\{{}\begin{matrix}4x^2-4x+1=0\\y^2+\dfrac{4}{5}y+\dfrac{4}{25}=0\\x+y-z=0\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}2x-1=0\\y+\dfrac{2}{5}=0\\x+y-z=0\end{matrix}\right.\)

<=>\(\left\{{}\begin{matrix}x=\dfrac{1}{2}\\y=\dfrac{-2}{5}\\\dfrac{1}{2}-\dfrac{2}{5}-z=0\end{matrix}\right.\)

<=>\(\left\{{}\begin{matrix}x=\dfrac{1}{2}\\y=\dfrac{-2}{5}\\z=\dfrac{1}{10}\end{matrix}\right.\)

KL: vậy \(\left\{{}\begin{matrix}x=\dfrac{1}{2}\\y=\dfrac{-2}{5}\\z=\dfrac{1}{10}\end{matrix}\right.\)

Vì \(\left(4x-1\right)^2=\left(1-4x\right)^4.\)(*)
   Đặt \(\left(4x-1\right)^2=t\) ( điều kiện \(t\ge0\)) \(\Leftrightarrow1-4x=-t^2\)
nên phương trình (*) \(\Leftrightarrow t=-t^2\)
\(\Leftrightarrow t^2+t=0\)

\(\Leftrightarrow t=0\) hoặc \(t=-1\)( loại do \(t\ge0\)) 
Ta có \(t=0\Leftrightarrow\left(4x-1\right)^2=0\Leftrightarrow4x-1=0\)
           \(\Leftrightarrow x=\frac{1}{4}\)
Vậy phương trình có 1 nghiệm \(x=\frac{1}{4}.\)

Ta có: \(2x\left(8x-1\right)^2\cdot\left(4x-1\right)=9\)

\(\Leftrightarrow\left(8x-1\right)^2\cdot\left(8x^2-2x\right)=9\)

\(\Leftrightarrow\left(64x^2-16x+1\right)\left(8x^2-2x\right)-9=0\)

\(\Leftrightarrow512x^4-128x^3-128x^3+32x^2+8x^2-2x-9=0\)

\(\Leftrightarrow512x^4-256x^3+40x^2-2x-9=0\)

\(\Leftrightarrow256x^3\left(2x-1\right)+40x^2-20x+18x-9=0\)

\(\Leftrightarrow256x^3\left(2x-1\right)+20x\left(2x-1\right)+9\left(2x-1\right)=0\)

\(\Leftrightarrow\left(2x-1\right)\left(256x^3+20x+9\right)=0\)

\(\Leftrightarrow\left(2x-1\right)\left(256x^3+64x^2-64x^2-16x+36x+9\right)=0\)

\(\Leftrightarrow\left(2x-1\right)\left[64x^2\left(4x+1\right)-4x\left(4x+1\right)+9\left(4x+1\right)\right]=0\)

\(\Leftrightarrow\left(2x-1\right)\left(4x+1\right)\left(64x^2-4x+9\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-1=0\\4x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=1\\4x=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=-\dfrac{1}{4}\end{matrix}\right.\)

Vậy: \(x\in\left\{\dfrac{1}{2};-\dfrac{1}{4}\right\}\) 

mong mọi người giải giúp em vs 

 chọn lộn môn

Em đăng bài quả môn toán nhận hỗ trợ nhanh nhất nha