ĐKXĐ: \(x\ge\dfrac{5}{2}\)
\(\sqrt{2x-4+2\sqrt{2x-5}}+\sqrt{2x+4+6\sqrt{2x-5}}=14\)
\(\Leftrightarrow\sqrt{\left(\sqrt{2x-5}+1\right)^2}+\sqrt{\left(\sqrt{2x-5}+3\right)^2}=14\)
\(\Leftrightarrow\left|\sqrt{2x-5}+1\right|+\left|\sqrt{2x-3}+3\right|=14\)
\(\Leftrightarrow2\sqrt{2x-5}=10\)
\(\Leftrightarrow\sqrt{2x-5}=5\)
\(\Leftrightarrow2x-5=25\)
\(\Leftrightarrow x=15\)
Giải PT :
\(\sqrt{x-2+\sqrt{2x-5}}+\sqrt{x+2+3\sqrt{2x-5}}=7\sqrt{2}\)
Giải PT
\(\sqrt{x+2-3\sqrt{2x-5}}+\sqrt{x-2\sqrt{2x-5}}=2\sqrt{2}\)
Giải PT:
\(\dfrac{\sqrt{27+x^2+x}}{2+\sqrt{5-\left(x^2+x\right)}}=\dfrac{\sqrt{27+2x}}{2+\sqrt{5-2x}}\)
\(\sqrt{3x^2+33}+3\sqrt{x}=2x+7\)
giải pt ạ
Giải pt: \(x^2+2\sqrt{2x+7}=2\sqrt{-2x+3}+5\)
Giải các pt sau:\(\sqrt{x^2-2x+1}+\sqrt{x^2-4x+4}=3\)
\(\sqrt{x^2-10x+25}=3-19x\)
\(\sqrt{2x-2+2\sqrt{2x-3}}+\sqrt{2x+13+8\sqrt{2x-3}}=5\)
Giải phương trình:\(\sqrt{x-2+\sqrt{2x-5}}+\sqrt{x+2+3\sqrt{2x-5}}=7\sqrt{2}\)
giải pt
a)\(\sqrt{2x-3}+\sqrt{5-2x}=3x^2-12x+14\)
b)\(\sqrt{x^2+x-1}+\sqrt{-x^2+x+1}=x^2-x+2\)
c)\(\sqrt{x-2}+\sqrt{y-3}+\sqrt{z-5}=\frac{1}{2}\left(x+y+z-7\right)\)
d)\(x\sqrt{y-1}+2y\sqrt{x-1}=\frac{3xy}{2}\)
Giải pt
\(\sqrt{2-x}+\sqrt{x}+5\sqrt{2x-x^2}=7\)
Giúp với
