tìm x. 3căn x=căn12
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bài này khá dễ đừng có nghĩ cao siêu
bình phương 2 vế
\(9x^4+x^2+9-6x^3-6x+18x^2=9x^4+9x^2+9\\ \Leftrightarrow6x^3-10x^2+6x=0\\ \Leftrightarrow2x\left(3x^2-5x+3\right)=0\\ \Rightarrow\left\{{}\begin{matrix}2x=0\Rightarrow x=0\\3x^2-5x+3=0\left(l\right)\end{matrix}\right.\)
phương trình sau loại do đenta < 0
vậy x=0 là nghiệm
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a) \(\left(\sqrt{\dfrac{9}{20}}-\sqrt{\dfrac{1}{2}}\right).\sqrt{2}=\sqrt{\dfrac{9}{20}.2}-\sqrt{\dfrac{1}{2}.2}=\sqrt{\dfrac{9}{10}}-1=\dfrac{3}{\sqrt{10}}-1\)
\(=\dfrac{3\sqrt{10}}{10}-1\)
b) \(\left(\sqrt{12}+\sqrt{27}-\sqrt{3}\right)\sqrt{3}=\sqrt{12.3}+\sqrt{27.3}-\sqrt{3.3}\)
\(=\sqrt{36}+\sqrt{81}-\sqrt{9}=6+9-3=12\)
c) \(\left(\sqrt{\dfrac{8}{3}}-\sqrt{24}+\sqrt{\dfrac{50}{3}}\right)\sqrt{6}=\sqrt{\dfrac{8}{3}.6}-\sqrt{24.6}+\sqrt{\dfrac{50}{3}.6}\)
\(=\sqrt{16}-\sqrt{144}+\sqrt{100}=4-12+10=2\)
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Đề là \(\sqrt{\left(x+1\right)}+2\left(x+1\right)=x-1+\sqrt{\left(1-x\right)}+3\sqrt{1-x^2}\)?