(2x-1)^2=5 mấy anh chị chỉ giùm em
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I
9 A
10 B
12 C
14 B
16 B
19 A
20 A
21 D
22 B
23 F
24 T
25 T
26 T
27 B
28 A
29 competitions
30 traditional
31 peaceful
32 noise
33 entertainment
34 walking
35 There is a lot of room for people to play in my city
36 I have to use public transportation because I don't have a vehicle everyday
37 Her hobbies are painting and hanging out with her friends on the weekend
38 There aren't many bookstores in their town
39 It took him two months to build Eiffel Tower model
40 It's important to practice your English everyday
Bài `13`
\(a,\sqrt{27}+\sqrt{48}-\sqrt{108}-\sqrt{12}\\ =\sqrt{9\cdot3}+\sqrt{16\cdot3}-\sqrt{36\cdot3}-\sqrt{4\cdot3}\\ =3\sqrt{3}+4\sqrt{3}-6\sqrt{3}-2\sqrt{3}\\ =\left(3+4-6-2\right)\sqrt{3}\\ =-\sqrt{3}\\ b,\left(\sqrt{28}+\sqrt{12}-\sqrt{7}\right)\cdot\sqrt{7}+\sqrt{84}\\ =\left(\sqrt{4\cdot7}+\sqrt{4\cdot3}-\sqrt{7}\right)\cdot\sqrt{7}+\sqrt{4\cdot21}\\ =\left(2\sqrt{7}+2\sqrt{3}-\sqrt{7}\right)\cdot\sqrt{7}+2\sqrt{21}\\ =2\cdot7+2\sqrt{21}-7+2\sqrt{21}\\ =14+2\sqrt{21}-7+2\sqrt{21}\\ =7+4\sqrt{21}\)
\(\frac{3}{5}\)+ \(\frac{5}{6}\)=\(\frac{18}{30}\)+ \(\frac{25}{30}\)=\(\frac{43}{30}\)
Ta có: 4x^3=4x
Suy ra: 4x^3-4x=0
Suy ra: 4x(x^2-1)=0
Suy ra: 4x=0 nên x=0
x^2-1=0 nên x^2=1 nên x=1 hoặc -1
KL: x thuộc {1;-1;0}
\(\Rightarrow\orbr{\begin{cases}2x-1=\sqrt{5}\\2x-1=-\sqrt{5}\end{cases}}\Rightarrow\orbr{\begin{cases}2x=\sqrt{5}+1\\2x=-\sqrt{5}+1\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{\sqrt{5}+1}{2}\\x=\frac{-\sqrt{5}+1}{2}\end{cases}}\)
\(\Rightarrow\)4x\(^2\)-4x+1 =5\(\Rightarrow\)4x^2-4x-4=0\(\Rightarrow\)x^2-x-1=0\(\Rightarrow\)x^2-\(2x\frac{1}{2}\)+\(\frac{1}{4}\)-\(\frac{5}{4}\)=0
\(\Rightarrow\)\(\left(x-\frac{1}{2}\right)^2-\left(\frac{\sqrt{5}}{2}\right)^2\)=0\(\Rightarrow\left(x-\frac{1}{2}+\frac{\sqrt{5}}{2}\right)\left(x-\frac{1}{2}-\frac{\sqrt{5}}{2}\right)\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{1-\sqrt{5}}{2}\\x=\frac{1+\sqrt{5}}{2}\end{cases}}\)