3^n+1 =27
Giải hộ e với ạ
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Sửa đề: \(\dfrac{16}{15}\rightarrow\dfrac{16}{25}\)
Giải:
\(\left(x-\dfrac{3}{5}\right)^2=\dfrac{16}{25}\)
\(\Rightarrow\left[{}\begin{matrix}\left(x-\dfrac{3}{5}\right)^2=\left(\dfrac{4}{5}\right)^2\\\left(x-\dfrac{3}{5}\right)^2=\left(\dfrac{-4}{5}\right)^2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x-\dfrac{3}{5}=\dfrac{4}{5}\\x-\dfrac{3}{5}=\dfrac{-4}{5}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{7}{5}\\x=\dfrac{-1}{5}\end{matrix}\right.\)
\(\left(\dfrac{5}{3}-x\right)^3=\dfrac{1}{27}\)
\(\Rightarrow\left(\dfrac{5}{3}-x\right)^3=\left(\dfrac{1}{3}\right)^3\)
\(\dfrac{5}{3}-x=\dfrac{1}{3}\)
\(x=\dfrac{5}{3}-\dfrac{1}{3}\)
\(x=\dfrac{4}{3}\)
\(\left(4x-1\right)^3=27\Leftrightarrow4x-1=3\Leftrightarrow4x=4\Leftrightarrow x=1\)
\(\left(4x-1\right)^3=27\\ \Leftrightarrow\left(4x-1\right)^3=3^3\\ \Leftrightarrow4x-1=3\\ \Leftrightarrow4x=4\\ \Leftrightarrow x=1\)
ta có
\(lim\frac{\sqrt{n+4}}{\sqrt{n}+1}=lim\frac{\sqrt{n+4}:\sqrt{n}}{\left(\sqrt{n}+1\right):\sqrt{n}}=lim\frac{\sqrt{1+\frac{4}{n}}}{1+\frac{1}{\sqrt{n}}}=1\)
\(\Leftrightarrow7x\left(x+5\right)+\left(x-5\right)\left(x+5\right)=0\\ \Leftrightarrow\left(x-5\right)\left(7x+x+5\right)=0\\ \Leftrightarrow\left(x-5\right)\left(8x+5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=5\\x=-\dfrac{5}{8}\end{matrix}\right.\)
\(\Leftrightarrow x^2+x-5x-5-x^2-6x-9-6=0\\ \Leftrightarrow-10x-20=0\\ \Leftrightarrow x=-2\)
b: Ta có: \(N=a^3+b^3+3ab\)
\(=\left(a+b\right)^3-3ab\left(a+b\right)+3ab\)
\(=1-3ab+3ab\)
=1
I. Write sentences with the cues given
1. Mai / usually / listen / K - pop music / free time.
→ Mai usually listens to K-pop music in her free time.
2. when / I / be / a child / I / enjoy / play / computer games
→ When I was a child, I enjoyed playing computer games.
3. my father / spend / most / spare time / look after / the garden
→ My father spends most of his spare time looking after the garden.
4. watching TV / most / popular / leisure activity / Britain ?
→ Is watching TV the most popular leisure activity in Britain?
5. many teenagers / addicted / the Internet / computer games
→ Many teenagers are addicted to the Internet and computer games.
6. she / get / hooked / the medical drama / after / watch / the first people
→ She got hooked on the medical drama after watching the first episode.
7. most / my friends / prefer / play sports / to / surf the net
→ Most of my friends prefer to play sports rather than surf the net.
8. today's world / teenagers / rely / technology / more / the past
→ In today's world, teenagers rely on technology more than in the past
II. Write the second sentences so that it has a similar meaning to the first one
1. It takes us more than two hours to see the film " Avatar "
→ The film " Avatar " requires more than two hours of our time to watch.
2. She likes to hang out with friends on Saturday evening
→ She's interested in socializing with friends on Saturday evening
Câu 4:
Số quả dưa là:
\(15:\dfrac{3}{11}=15\cdot\dfrac{11}{3}=55\)(quả)
3n+1 = 27
=> 3n+1 = 33
=> n+1 =3
=> n= 3-1
=> n=2
Vậy n =2