Giúp mik 4 bài này với ạ mik cảm mơn
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\(\sqrt{x^2-2x+4}+\sqrt{x^2+5}=9-2x\left(đk:x\le\dfrac{9}{2}\right)\)
\(\Leftrightarrow x^2-2x+4+x^2+5+2\sqrt{\left(x^2-2x+4\right)\left(x^2+5\right)}=81-36x+4x^2\)
\(\Leftrightarrow2\sqrt{\left(x^2-2x+4\right)\left(x^2+5\right)}=2x^2-34x+72\)
\(\Leftrightarrow4\left(x^2-2x+4\right)\left(x^2+5\right)=4x^4+1156x^2+5184-136x^3+288x^2-4896x\)
\(\Leftrightarrow4x^4-8x^3+36x^2-40x+80=4x^4-136x^3+1444x^2-4896x+5184\)
\(\Leftrightarrow128x^3-1408x^2+4856x-5104=0\)
\(\Leftrightarrow128x^2\left(x-2\right)-1152x\left(x-2\right)+2552\left(x-2\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(128x^2-1152x+2552\right)=0\)
\(\Leftrightarrow x=2\left(tm\right)\)(do \(128x^2-1152x+2552>0\))
câu 6 thể tích 1kg khí ở 0 độ 1,29 m3
áp dụng đẳng quá trình \(\dfrac{P_0V_0}{T_0}=\dfrac{PV}{T}\Leftrightarrow\dfrac{1,01.10^5.1,29}{0+273}=\dfrac{3.10^5.V}{70+273}\Rightarrow V\approx0,5456\left(m^3\right)\)
khối lượng riêng 0,5456kg/m3
ĐKXĐ: \(x\ne y,x\ne-y\)
\(hpt\Leftrightarrow\left(\dfrac{1}{x+y}+\dfrac{1}{x-y}\right)-\left(\dfrac{1}{x+y}+\dfrac{1}{x-y}\right)=\dfrac{5}{8}-\dfrac{3}{8}\)
\(\Leftrightarrow0=\dfrac{1}{4}\left(VLý\right)\)
Vậy hpt vô nghiệm
a:
C1: =3/4*2*1/2=3/2*1/2=3/4
C2: =1/2*2*3/4=1*3/4=3/4
b:
C1: =5/4*5/7=25/28
C2: =3/4*5/7+1/2*5/7=15/28+5/14=25/28
c:
C1: =13/21(5/7+2/7)=13/21
C2: =65/147+26/147=91/147=13/21
1 It was such a difficult climb that we stopped to rest several times
2 She didn't ran fast enough to win the race
3 It was such a heavy bag that I had to ask for help
4 The house is too small for us to live in
5 Jack's suit was so elegant that everyone complimented him
6 My sister is not old enough to watch horror films
7 My mother is such a wise person that people often aske her for advice
8 The package is not light enough for you to lift by yourself
9 This book is too old for the children to eat
10 It was such an interesting book that I couldn't put it down
11 It is such a weak bird that it can't fly
12 These boyss aren't old enough to watch that film
13 They are such small sandals that they don't fit me
\(Q=x-2-2\sqrt{x-2}+4\)
\(=\left(\sqrt{x-2}-1\right)^2+3>=3\)
Dấu = xảy ra khi x=3