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\(\Leftrightarrow9x^2+45x+14-3\sqrt{x^2+5x+2}=0\)
\(\Leftrightarrow9\left(x^2+5x+2\right)-3\sqrt{x^2+5x+2}-4=0\)
Đặt \(\sqrt{x^2+5x+2}=t\ge0\)
\(\Rightarrow9t^2-3t-4=0\)
Nghiệm xấu quá, bạn tự giải nốt
Giải các pt sau:
a) \(\sqrt{x+8}+\frac{9x}{\sqrt{x+8}}-6\sqrt{x}=0\)
b) \(x^4-2x^3+\sqrt{2x^3+x^2+2}-2=0\)
c) \(3x\sqrt[3]{x+7}\left(x+\sqrt[3]{x+7}\right)=7x^3+12x^2+5x-6\)
d) \(4x^2+\left(8x-4\right)\sqrt{x}-1=3x+2\sqrt{2x^2+5x-3}\)
e) \(16x^2+19x+7+4\sqrt{-3x^2+5x+2}=\left(8x+2\right)\left(\sqrt{2-x}+2\sqrt{3x+1}\right)\)
f) \(\left(5x+8\right)\sqrt{2x-1}+7x\sqrt{x+3}=9x+8-\left(x+26\right)\sqrt{x-1}\)
g) \(\sqrt[3]{3x+1}+\sqrt[3]{5-x}+\sqrt[3]{2x-9}-\sqrt[3]{4x-3}=0\)
giải các phương trình sau :
a ) \(7\sqrt{4x^2+5x-1}-14\sqrt{x^2-3x+3}=17x-13\)
b ) \(\sqrt{2x^2+5x+12}+\sqrt{2x^2+3x+2}=x+5\)
gpt : a) \(\frac{5x}{\sqrt{4-x^2}}+\frac{8}{x^2}+\frac{2x}{4-x^2}+\frac{5\sqrt{4-x^2}}{x}+4=0\)
b) \(\frac{2x}{\sqrt{8x^2+25}}+\frac{125}{x^2}-14=0\)
c) \(\left(x^3-3x+2\right)\sqrt{3x-2}-2x^3+6x^2-4x=0\)
d) \(\sqrt{x^2-x+6}+\frac{4}{x-1}=x^2+x\)
Giải phương trình
1, \(\sqrt{2-x^2}=x^2-3x+3\)
2, \(2\sqrt{1-x}+\sqrt{x}=\sqrt{2-x}\)
3, \(\sqrt{5x^3+3x^2+3x-2}=\dfrac{x^2}{2}+3x-\dfrac{1}{2}\)
4, \(\sqrt{3x^3-5x^2+5x-2}-\dfrac{x^2}{2}-x=\dfrac{1}{2}\)
a)\(\sqrt{1-x}\left(x-3x^2\right)=x^3-3x^2+2x+6\)
b)\(x^2+x+12\sqrt{x+1}=36\)
c)\(3x-1+\frac{x-1}{4x}=\sqrt{3x+1}\)
d)\(\sqrt{x^2+12}-3x=\sqrt{x^2+5}-5\)
e)\(4x^2+12+\sqrt{x-1}=4\left(x\sqrt{5x-1}+\sqrt{9-5x}\right)\)
f)\(4x^3-25x^2+43x+x\sqrt{3x-2}=22+\sqrt{3x-2}\)
g)\(2\left(x+1\right)\sqrt{x}+\sqrt{3\left(2x^3+5x^2+4x+1\right)}=5x^3-3x^2+8\)
h)\(\sqrt{x^2+12}-\sqrt{x^2+5}=3x-5\)
i)\(\sqrt{1-3x}-\sqrt[3]{3x-1}=\left|6x-2\right|\)
k)\(\sqrt{2x^3+3x^2-1}=2x^2+2x-x^3-1\)
l)\(\sqrt{x^2+x-2}+x^2=\sqrt{2\left(x-1\right)}+1\)
Giai pt :
\(7\sqrt{4x^2+5x-1}-14\sqrt{x^2-3x+3}=17x-13\)
Giải pt sau:
a. \(\sqrt{2x^2-3x-11}=\sqrt{x^2-1}\)
b. \(\sqrt{2x^2+3x-5}=x+1\)
c. \(\sqrt{\left(x+2\right)^2}=\sqrt{3x^2-5x+14}\)
d. \(\sqrt{\left(x-1\right)\cdot\left(2x-3\right)}=-x-9\)
Giải phương trình:
1, \(\dfrac{x^3+5x^2+4x+2}{x^2+2x+3}=\sqrt{x^2+x+2}\)
2, \(\sqrt{x^3+15}+2=\sqrt{x^3+8}+3x\)
3, \(\sqrt{3x+1}-\sqrt{x+3}+1-x=0\)
Giải hệ phương trình:
1, \(\left\{{}\begin{matrix}\left(17-3x\right)\sqrt{5-x}+\left(3y-14\right)\sqrt{4-y}=0\\2\sqrt{2x+y+5}+3\sqrt{3x+2y+11}=x^2+6x+13\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}x\left(x+y\right)+\sqrt{x+y}=\sqrt{2y}\left(\sqrt{2y^3}+1\right)\\x^2y-5x^2+7\left(x+y\right)-4=6\sqrt[3]{xy-x+1}\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}\sqrt{x}+\sqrt[4]{32-x}-y^2+3=0\\\sqrt[4]{x}+\sqrt{32-x}+6y-24=0\end{matrix}\right.\)
