\(\Leftrightarrow x+1+x-1+3\sqrt[3]{x^2-1}\left(\sqrt[3]{x+1}+\sqrt[3]{x-1}\right)=5x\)
\(\Leftrightarrow\sqrt[3]{x^2-1}.\sqrt[3]{5x}=x\)
\(\Leftrightarrow5x\left(x^2-1\right)=x^3\)
\(\Leftrightarrow x\left(4x^2-5\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=\pm\frac{\sqrt{5}}{2}\end{matrix}\right.\)
giải pt :
a) \(\sqrt{x-1}+\sqrt{x^3+x^2+x+1}=1+\sqrt{x^4-1}\)
b0 \(4\sqrt{x+1}=x^2-5x+14\)
c) \(2x+3\sqrt{4-5x}+\sqrt{x+2}=8\)
d) \(\dfrac{x^2+x}{\sqrt{x^2+x+1}}=\dfrac{2-x}{\sqrt{x-1}}\)
giải pt \(\sqrt{4x^2+5x+1}+3=2\sqrt{x^2-x+1}+9x\)
Giải pt:
\(\sqrt{2x+3}+\sqrt{x+1}=3x+\sqrt{2x^2+5x+3}-16\)
Em cảm ơn ạ.
Giải pt
\(\sqrt{5x-1}+\sqrt[3]{9-x}=2x^2+3x-1\)
giải pt \(\left(x+1\right)\left(2\sqrt{x^2+3}-x^2\right)+\sqrt[3]{3x^2+5}=5x+3\)
giải PT: \(\sqrt[3]{x^3+5x^2}-1=\sqrt{\dfrac{5x^2-2}{6}}\)
giải pt
\(\sqrt{2x+3}+\sqrt{x+1}=3x+2\sqrt{2x^2+5x+3}-2\)
1. Giải pt: \(x+\sqrt{x-1}=3+\sqrt{2\left(x^2-5x+5\right)}\)
2. Giải hpt: \(\left\{{}\begin{matrix}x-2\sqrt{y+1}=3\\x^3-4x^2\sqrt{y+1}-9x-8y=-52-4xy\end{matrix}\right.\)
Giải PT : \(\sqrt{4x^2+5x-1}-2\sqrt{x^2-x-1}=9x+3\)
