ĐKXĐ : \(\frac{5}{3}\le x\le12\)
\(2\sqrt{3x-5}-3\sqrt{12-x}+x^2+x-7=0\)
\(\Leftrightarrow\left(2\sqrt{3x-5}-4\right)+\left(9-3\sqrt{12-x}\right)+x^2+x-12=0\)
\(\Leftrightarrow\frac{12\left(x-3\right)}{2\sqrt{3x-5}+4}+\frac{9\left(x-3\right)}{9+3\sqrt{12-x}}+\left(x-3\right)\left(x+4\right)=0\)
\(\Leftrightarrow\left(x-3\right)\left(\frac{12}{2\sqrt{3x-5}+4}+\frac{9}{9+3\sqrt{12-x}}+x+4\right)=0\)
\(\Leftrightarrow x=3\)( vì vế trong ngoặc thứ 2 > 0 \(\forall\)\(\frac{5}{3}\le x\le12\))
giải pt
1) \(\sqrt{x+3}+\sqrt{3x+1}+4\sqrt{5-x}=12\)
2) \(x+4\sqrt{x+3}+2\sqrt{3-2x}=11\)
3) \(4x\sqrt{x+3}+2\sqrt{2x-1}=4x^2+3x+3\)
4) \(x^4-x^2+3x+5-2\sqrt{x+2}=0\)
(5) giải pt:
\(\sqrt{3x+1}+\sqrt{2-x}-3=0\)
giải pt \(6\left(x^2+x+1\right)^2+2x^2+2x-3-\sqrt{4x+5}=0\)
\(\sqrt{2x^2+4x+7}=x^4+4x^3+3x^2-2x-7\)
giải pt
\(3x^3-17x^2-8x+9+\sqrt{3x-2}-\sqrt{7-x}=0 \)
Giải pt:
\(\sqrt{x^2+5}+3x=\sqrt{x^2+12}+5.\)
1/giải pt \(x^2+3x\sqrt[3]{3x+2}-12+\frac{1}{\sqrt{x}}=\frac{\sqrt{x}+8}{x}\)
1,giải pt :
\(3x^2+\sqrt{2}x-3+\sqrt{2}=0\)
Giải pt
\(\sqrt{3x+3}-\sqrt{5-2x}-x^3+3x^2+10x-26=0\)
Giải pt
\(\sqrt{3x+3}-\sqrt{5-2x}-x^3+3x^2+10x-26=0\)
