ĐKXĐ: \(-\dfrac{1}{3}\le x\le4\)
\(2x+9=4-x+3x+1+2\sqrt{\left(4-x\right)\left(3x+1\right)}\)
\(\Leftrightarrow\sqrt{\left(4-x\right)\left(3x+1\right)}=2\)
\(\Leftrightarrow\left(4-x\right)\left(3x+1\right)=4\)
\(\Leftrightarrow3x^2-11x=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{11}{3}\end{matrix}\right.\) (thỏa mãn)
Giải PT: \(\sqrt{2x^4-3x^2+1}+\sqrt{2x^4-x^2}=4x-3\)
giải pt \(\dfrac{1}{\sqrt{2x-1}}+\dfrac{1}{\sqrt{2x+1}}=\dfrac{1}{\sqrt{x+1}}+\dfrac{1}{\sqrt{3x-1}}\)
Giải pt:
a) \(\sqrt{2x^2-3}\)=\(\sqrt{4x-3}\)
b) \(\sqrt{2x-1}\)=\(\sqrt{x-1}\)
c) \(\sqrt{x^2-x-6}\)=\(\sqrt{x-3}\)
d) \(\sqrt{x^2-x}\)=\(\sqrt{3x-5}\)
Giúp em với, anh thịnh giúp em xíu á
Giải PT sau:
\(\sqrt{3x-3}-\sqrt{5-x}=\sqrt{2x-4}\)
Giải pt sau
a,\(^{x^2-6x+26=6\sqrt{2x+1}}\)
b,\(x^2+2x\sqrt{x-\dfrac{1}{x}}=3x+1\)
Giải:
1)a) \(17\sqrt{3x-1}=3x\)
b) \(\sqrt{2+\sqrt{3x-5}}=\sqrt{x+1}\)
c)\(\sqrt{\dfrac{5x+7}{x+3}}=4\)
2)Giai pt :
a) x+y+12=\(4\sqrt{x}+6\sqrt{y}-1\)
b) \(\sqrt{x-a}+\sqrt{y-b}+\sqrt{z-c}=\dfrac{1}{2}\left(x+y+z\right)\)
c)\(\sqrt{x+\sqrt{14x-4y}}+\sqrt{x-\sqrt{14x-4y}}=\sqrt{14}\)
d)x-\(4\sqrt{2x+2}-2\sqrt{2-x+9}=0\)
Giải pt sau:
1/ \(\sqrt{4x^2-12x+9}=3-2x\)
2/ \(\sqrt{x^2-2\sqrt{2}x+2}=\sqrt{9-4\sqrt{2}}-\sqrt{3+2\sqrt{2}}\)
Giải pt : a) \(\sqrt{3x^2-5x+1}-\sqrt{x^2-2}=\sqrt{3\left(x^2-x-1\right)}-\sqrt{x^2-3x+4}\)
b) \(\left(x-1\right)\sqrt{x^2+5}+x=x^2+1\)
c)\(\sqrt{x+2}+2x-10=\sqrt{2x-3}\)
d)\(\sqrt{2x-3}-\sqrt{x}=2x-6\)
e) \(\sqrt{4x^2+5x+1}-2\sqrt{x^2-x+1}=9x-3\)
Giải pt : 5x + 2\(\sqrt{6x^2+11x+4}=4\left(\sqrt{2x+1}+\sqrt{3x+4}\right)+16\)
