\(3\left(x^2-3x+2\right)+\sqrt{3}\left(\sqrt{x^4+x^2+1}-\sqrt{3}\right)=0\)
\(3\left(x-1\right)\left(x-2\right)+\sqrt{3}.\frac{x^4+x^2-2}{\sqrt{x^4+x^2+1}+\sqrt{3}}=0\)
\(3\left(x-1\right)\left(x-2\right)+\sqrt{3}.\frac{\left(x-1\right)\left(x^3+x^2+2x+2\right)}{\sqrt{x^4+x^2+1}+\sqrt{3}}=0\)
gpt:
\(3\left(x^2-3x+1\right)+\sqrt{3\left(x^4+x^2+1\right)}=0\)
\(\sqrt[3]{x^3+5x^2}-1=\sqrt{\frac{5x^2-2}{6}}\)
gpt:
\(x-\sqrt{x-8}-3\sqrt{x}+1=0\)
\(x^3+\frac{x^3}{(x-1)^3}+\frac{3x^2}{x-1}-2=0\)
gpt:
\(x^2-3x+1=-\frac{\sqrt{3}}{3}\sqrt{x^4+x^2+1}\)
a,GPT \(\sqrt{x^3+12}-3x=\sqrt{x^2+5}-5\)
b,Cho x,y,z>0 thỏa mãn \(\sqrt{x}+\sqrt{y}+\sqrt{z}=3\)TÌM GTNN \(P=\frac{\sqrt{x}+1}{y+1}+\frac{\sqrt{y}+1}{z+1}+\frac{\sqrt{z}+1}{x+1}\)
Gpt:
gpt:
\(x^4-2x^3+x=\sqrt{(x^2-x).2}\)
\(x(5x^3+2)-2(\sqrt{2x+1}-1)=0\)
\(\sqrt{x+\frac{3}{x}}=\frac{x^2-7}{2x+2}\)
GPT: \(x^2-3x+3=\left(3x-\frac{4}{x}+1\right)\sqrt{x-1}\)
Gpt: \(x^2-5x-3\sqrt{3x}+12=0\)
\(\sqrt{x-1}+\sqrt{2-x}=3x-1\)
GPT
A,\(\sqrt{X+1}+\sqrt{4-X}+\sqrt{4+3X-X^2=5}\)
B,\(\sqrt{X^2-2X+5}=2-\left(X^2-1\right)^4\)
C,\(\left(X-5\right)^3=5\sqrt[3]{2X-9}-3X+6\)
D,\(\left(2X+1\right)\sqrt{\frac{X+1}{X}}=X+2+\sqrt[3]{2X^2+X^3}\)
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