ĐKXĐ: ..
\(\Leftrightarrow x-1+\sqrt{x+3}-2+\sqrt{3x+1}-2=0\)
\(\Leftrightarrow x-1+\frac{x-1}{\sqrt{x+3}+2}+\frac{x-1}{\sqrt{3x+1}+2}=0\)
\(\Leftrightarrow\left(x-1\right)\left(1+\frac{1}{\sqrt{x+3}+2}+\frac{1}{\sqrt{3x+1}+2}\right)=0\)
\(\Rightarrow x=1\)
Giải PT: \(\sqrt{x-1}+\sqrt{x+3}+2\sqrt{\left(x-1\right).\left(x^2-3x+5\right)}=4-2x\)
Giải pt:
\(\sqrt[3]{3x+1}+\sqrt[3]{5-x}+\sqrt[3]{2x-9}-\sqrt[3]{4x-3}=0\)
Em cảm ơn ạ.
giải pt \(\left(x+1\right)\left(2\sqrt{x^2+3}-x^2\right)+\sqrt[3]{3x^2+5}=5x+3\)
B1: giải pt: \(\sqrt{x+3}+\sqrt{2x+4}=12-\sqrt{3x+7}\)
B2: giải pt: \(x^3-3x^2-8x+32=4\sqrt{x+1}\)
Giải pt : a) \(\sqrt[3]{x^2-1}+x=\sqrt{x^3-1}\)
b) \(\sqrt{2x^2+3x+5}+\sqrt{2x^2-3x+5}=3x\)
c) \(2x^2-11x+2x=3\sqrt[3]{4x-4}\)
Giải PT: \(\sqrt{1-x}+\sqrt{x^2-3x+2}+\left(x-2\right).\sqrt{\dfrac{x-1}{x-2}}=3\)
giải pt
\(\sqrt{4x+1}-\sqrt{3x-2}=\dfrac{x+3}{5}\)
Giải PT : \(\left(\sqrt{x+4}-\sqrt{x-1}\right)\left(\sqrt{x^2+3x-4}+1\right)=5\)
Giải pt:
\(\sqrt{x^2-3x+2}+\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
