ĐKXĐ: ..
\(\Leftrightarrow\sqrt{2x^2+2x+3}-\sqrt{2x^2-1}+\sqrt{x^2-x+2}-\sqrt{x^2-3x-2}=0\)
\(\Leftrightarrow\frac{2\left(x+2\right)}{\sqrt{2x^2+2x+3}+\sqrt{2x^2-1}}+\frac{2\left(x+2\right)}{\sqrt{x^2-x+2}+\sqrt{x^2-3x-2}}=0\)
\(\Leftrightarrow\left(x+2\right)\left(\frac{2}{\sqrt{2x^2+2x+3}+\sqrt{2x^2-1}}+\frac{2}{\sqrt{x^2-x+2}+\sqrt{x^2-3x-2}}\right)=0\)
\(\Leftrightarrow x+2=0\)
Giải pt:
\(\sqrt{x^2-3x+2}+\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
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:
\(\sqrt{-x^4+3x-1}+\sqrt{2x^2-3x+2}=x^4-x^2-2x+4\)
Giải PT: \(\sqrt{2x+3+\sqrt{x+2}}+\sqrt{2x+2-\sqrt{x+2}}=1+2\sqrt{x+2}\)
Giải PT: \(\sqrt{2x+3+\sqrt{x+2}}+\sqrt{2x+2-\sqrt{x+2}}=1+2\sqrt{x+2}\)
Giải PT: \(\sqrt{2x+3\sqrt{x+2}}+\sqrt{2x+2-\sqrt{x+2}}=1+2\sqrt{x+2}\)
giải pt
\(\sqrt{2x+3}+\sqrt{x+1}=3x+2\sqrt{2x^2+5x+3}-2\)
Giải PT a, \(5\sqrt{2x^2+3x+9}=2x^2+3x+3\)
b. \(9-\sqrt{81-7x^3}=\frac{x^3}{2}\)
c. \(x^2+3-\sqrt{2x^2-3x+2}=\frac{3}{2}\left(x+1\right)\)
d. \(\sqrt{9x-2x^2}-9x+2x^2+6=0\)
e. \(\sqrt{x^2+x-1}+\sqrt{x-x^2+1}=x^2-x+2\)
f. \(\sqrt{x^2+x-5}+\sqrt{x-x^2+3}=x^2-3x+4\)
Giải PT: \(\sqrt{x-1}+\sqrt{x+3}+2\sqrt{\left(x-1\right).\left(x^2-3x+5\right)}=4-2x\)
Giải pt:
\(\sqrt{2x+3}+\sqrt{x+1}=3x+\sqrt{2x^2+5x+3}-16\)
Em cảm ơn ạ.
