2*3+4*67^57775567
K
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PK
2
S
25 tháng 12 2022
\(\dfrac{2}{67}-\left(\dfrac{3}{7}+\dfrac{2}{67}\right)\\ =\dfrac{2}{67}-\dfrac{215}{469}\\ =\dfrac{-3}{7}\)
S
24 tháng 12 2022
\(\left(\dfrac{1}{3}+\dfrac{12}{67}+\dfrac{13}{41}\right)-\left(\dfrac{79}{67}-\dfrac{28}{41}\right)\)
\(=\dfrac{1}{3}+\dfrac{12}{67}+\dfrac{13}{41}-\dfrac{79}{67}+\dfrac{28}{41}\)
\(=\dfrac{1}{3}+\left(\dfrac{12}{67}-\dfrac{79}{67}\right)+\left(\dfrac{13}{41}+\dfrac{28}{41}\right)\)
\(=\dfrac{1}{3}+\left(-1\right)+1=\dfrac{1}{3}+0=\dfrac{1}{3}\)
\(\left(\dfrac{15}{4}-5x\right).\left(9x^2-4\right)=0\)
\(\left[{}\begin{matrix}\dfrac{15}{4}-5x=0\\9x^2-4=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}5x=\dfrac{15}{4}\\9x^2=4\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=\dfrac{2}{3}\end{matrix}\right.\)
5 tháng 2 2023
`4/7 + 2/3 = 12/21 + 14/21 = 26/21`
`5/6 -3/4 = 10/12 - 9/12 = 1/12`
`3/10 xx 15/6 = 3/10 xx 5/2 = 3/4`
`7/6 : 5/4 = 7/6 xx 4/5 = 14/15`
BN
4
15 tháng 4 2020
63:(39-2.(2x+1)^2)+4^3=67
\(63:\left(39-2\left(2x+1\right)^2\right)+64=67\)
\(63:\left(39-2\left(2x+1\right)^2\right)=3\)
\(39-2\left(2x+1\right)^2=21\)
\(2\left(2x+1\right)^2=18\)
\(\left(2x+1\right)^2=9\)
\(2x+1=3\)
\(2x=2\)
\(x=1\)
B
\(\sqrt{4\sqrt{2}-\sqrt{4+16\sqrt{6-4\sqrt{2}}}}+\sqrt{\sqrt{3}+\sqrt{228+50\sqrt{67-16\sqrt{3}}}}\)
3
HP
6 tháng 9 2021
\(\sqrt{4\sqrt{2}-\sqrt{4+16\sqrt{6-4\sqrt{2}}}}+\sqrt{\sqrt{3}+\sqrt{228+50\sqrt{67-16\sqrt{3}}}}\)
\(=\sqrt{4\sqrt{2}-\sqrt{4+16\sqrt{\left(\sqrt{2}-2\right)^2}}}+\sqrt{\sqrt{3}+\sqrt{228+50\sqrt{\left(\sqrt{3}-8\right)^2}}}\)
\(=\sqrt{4\sqrt{2}-\sqrt{4+16\left(2-\sqrt{2}\right)}}+\sqrt{\sqrt{3}+\sqrt{228+50\left(8-\sqrt{3}\right)}}\)
\(=\sqrt{4\sqrt{2}-\sqrt{36-16\sqrt{2}}}+\sqrt{\sqrt{3}+\sqrt{628-50\sqrt{3}}}\)
\(=\sqrt{4\sqrt{2}-\sqrt{\left(4\sqrt{2}-2\right)^2}}+\sqrt{\sqrt{3}+\sqrt{\left(\sqrt{3}-25\right)^2}}\)
\(=\sqrt{4\sqrt{2}-4\sqrt{2}+2}+\sqrt{\sqrt{3}+25-\sqrt{3}}\)
\(=\sqrt{2}+5\)
6 tháng 9 2021
\(\sqrt{4\sqrt{2}-\sqrt{4+16\sqrt{6-4\sqrt{2}}}}+\sqrt{\sqrt{3}+\sqrt{228+50\sqrt{67-16\sqrt{3}}}}=\sqrt{4\sqrt{2}-\sqrt{4+16\sqrt{\left(2-\sqrt{2}\right)^2}}}+\sqrt{\sqrt{3}+\sqrt{228+50\sqrt{\left(8-\sqrt{3}\right)^2}}}=\sqrt{4\sqrt{2}-\sqrt{4+32-16\sqrt{2}}}+\sqrt{\sqrt{3}+\sqrt{228+400-50\sqrt{3}}}=\sqrt{4\sqrt{2}-\sqrt{36-16\sqrt{2}}}+\sqrt{\sqrt{3}+\sqrt{628-50\sqrt{3}}}=\sqrt{4\sqrt{2}-4\sqrt{2}+2}+\sqrt{\sqrt{3}+25-\sqrt{3}}=\sqrt{2}+\sqrt{25}=5+\sqrt{2}\)