\(\Leftrightarrow\left\{{}\begin{matrix}\left(4x-3\right)^2-\left(x-2\right)^2=0\\x>=2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\left(4x-3-x+2\right)\left(4x-3+x-2\right)=0\\x>=2\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(3x-1\right)\left(5x-5\right)=0\\x>=2\end{matrix}\right.\Leftrightarrow x\in\varnothing\)
giải giúp mình mấy phương trình này với
a, \(16x^4+5=6\sqrt[3]{4x^3+x}\)
b,\(\sqrt{\text{-}4x^4y^2+16x^2y+9}-\sqrt{x^2y^2\text{-}2y^2}=2\left(x^2+\frac{1}{x^2}\right)\)
c,\(\sqrt{x^2+2y^2\text{-}6x+4y+11}+\sqrt{x^2+3y^2+2x+6y+4}=4\)
d, \(2\sqrt[4]{27x^2+24x+\frac{28}{3}}=1+\sqrt{\frac{27}{2}x+6}\)
e, \(\frac{2\sqrt{2}}{\sqrt{x+1}}+\sqrt{x}=\sqrt{x+9}\)
Giải hệ phương trình
\(\hept{\begin{cases}16x^4-24x^2+8\sqrt{3-2y}=3\\\frac{1}{\sqrt{x}}+\frac{y}{x}=\frac{2\sqrt{x}}{y}+2\end{cases}}\)
giải hệ pt \(\frac{1}{\sqrt{x}}+\frac{y}{x}=\frac{2\sqrt{x}}{y}+2\)
\(16x^4-24x^2+8\sqrt{3-2y}-3\)
Tìm đkxđ:a)\(\sqrt{x^2-9}\)
b) \(\sqrt{49x^2-24x+4}\)
6) \(\sqrt{x^2+12x+36}=-x-6\)
7) \(\sqrt{9x^2-12x+4}=3x-2\)
8) \(\sqrt{16-24x+9x^2}=2x-10\)
9) \(\sqrt{x^2-6x+9}==2x-3\)
10) \(\sqrt{x^2-3x+\dfrac{9}{4}}=\dfrac{3}{x}x-4\)
2x2-7x+3=0
6x2+x+5=0
16x2+24x+9=0
ai giúp với
* Giải phương trình:
a. \(x+\sqrt{x^2-4x+4}=\dfrac{1}{2}\)
b. \(\sqrt{9x^2-9}+\sqrt{4x^2-4}=\sqrt{16x^2-16}+2\)
\(\sqrt{16x^2\left(y^2-6y+9\right)}\) tại x = 2; y = \(\sqrt{5}\)
a) \(\sqrt{4x^2-9}=2\sqrt{x+3}\)
b) \(\sqrt{4x+20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=4\)
c) \(\dfrac{2}{3}\sqrt{9x-9}-\dfrac{1}{4}\sqrt{16x-16}+27\sqrt{\dfrac{x-1}{81}}=4\)
d)\(5\sqrt{\dfrac{9x-27}{25}}-7\sqrt{\dfrac{4x-12}{9}}-7\sqrt{x^2-9}+18\sqrt{\dfrac{9x^2-81}{81}}=0\)
