giúp mik câu này với
x2 + 1; \(\dfrac{x^4}{x^2-1}\)
X I N C Ả M Ơ N
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`@` `\text {Ans}`
`\downarrow`
\(\left(\dfrac{1}{5}\right)^{2x-1}=\dfrac{1}{125}\)
`=>`\(\left(\dfrac{1}{5}\right)^{2x-1}=\left(\dfrac{1}{5}\right)^3\)
`=>`\(2x-1=3\)
`=> 2x = 3 + 1`
`=> 2x = 4`
`=> x = 4 \div 2`
`=> x = 2`
Vậy, `x = 2.`
`@` `\text {Kaizuu lv uuu}`
1. Why don't you play with her?
2. Is the maid cleaning the floor?
C1:
`5/8 xx (1/5 +2)`
`=5/8 xx (1/5 +10/5)`
`=5/8 xx 11/5`
`=11/8`
C2:
`5/8 xx (1/5 +2)`
`=5/8 xx 1/5 + 5/8 xx 2`
`=1/8 + 10/8`
`=11/8`
Ta có: \(\left(\dfrac{4}{7}-\dfrac{1}{3}\right)^x=8\)
\(\Leftrightarrow\left(\dfrac{5}{21}\right)^x=8\)
\(\dfrac{1}{2}\left(x-2\right)+\dfrac{1}{3}\left(2-x\right)=x\\ \Leftrightarrow\dfrac{1}{2}\left(x-2\right)-\dfrac{1}{3}\left(x-2\right)=x\\ \Leftrightarrow\left(x-2\right).\left(\dfrac{1}{2}-\dfrac{1}{3}\right)=x\\ \Leftrightarrow\left(x-2\right).\left(\dfrac{3-2}{6}\right)=x\\ \Leftrightarrow\left(x-2\right).\dfrac{1}{6}=x\\ \Leftrightarrow\dfrac{1}{6}x-\dfrac{1}{3}-x=0\\ \Leftrightarrow\left(\dfrac{1}{6}-1\right)x=\dfrac{1}{3}\\ \Leftrightarrow\left(\dfrac{1-6}{6}\right)x=\dfrac{1}{3}\\ \Leftrightarrow\dfrac{-5}{6}x=\dfrac{1}{3}\\ \Leftrightarrow x=\dfrac{1}{3}:\left(-\dfrac{5}{6}\right)\\ \Leftrightarrow x=-\dfrac{2}{5}\)
Vậy \(x=-\dfrac{2}{5}\)
\(x^2+1=\dfrac{x^4-1}{x^2-1}\)