\(\sqrt{-2x^2+6}=x-1\left(đk:\sqrt{3}\ge x\ge1\right)\)
\(\Leftrightarrow-2x^2+6=x^2-2x+1\)
\(\Leftrightarrow3x^2-2x-5=0\)
\(\Leftrightarrow\left(x+1\right)\left(3x-5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-1\left(l\right)\\x=\dfrac{5}{3}\left(tm\right)\end{matrix}\right.\)
1) Giải các PT sau:
a)\(\sqrt{x+6-4\sqrt{x+2}}+\sqrt{x+11-6\sqrt{x+2}}=1\)
b)\(x^2-10x+27=\sqrt{6-x}+\sqrt{x-4}\)
c)\(x^2-2x-x\sqrt{x}-2\sqrt{x}+4=0\)
d)\(x^2+3x+1=\left(x+3\right)\sqrt{x^2+1}\)
e)\(2x+3=2\sqrt{x+1}+\sqrt{2x+1}\)
f)\(2+\sqrt{3-8x}=6x+\sqrt{4x-1}\)
\(\sqrt[]{x-2}=3\)
\(\sqrt{4x^2}+4x+1=3\)
\(3\sqrt{9x-9}-\sqrt{4x}-4=\sqrt{x-1}+24\)
giúp mk với ạ
Giải PT: \(\sqrt{x+6-4\sqrt{x+2}}+\sqrt{x+11-6\sqrt{x+2}}=1\)
Help me! Đang cần gấp
Giải PT
\(\sqrt{3x+1}+\sqrt{2x-1}=x+2\)
Giải PT: \(2\left(x^2+2\right)=3\left(\sqrt{x^3+8}+2x\right)\)
sqrt(18 + 12sqrt(2)) giúp e vs ạ
Giải PT sau :\(2\left(x^2+2\right)=3\left(\sqrt{x^2+8}+2x\right)\)
Giải PT :\(\sqrt[3]{\frac{1}{2}+x}+\sqrt{\frac{1}{2}-x}=6\)
Giải PT sau: \(\sqrt{5x^2+10x+1}=7-x^2-2x\)
