\(A=\left(4x^2+2\cdot2\cdot\dfrac{1}{4}x+\dfrac{1}{16}\right)-\dfrac{1}{16}=\left(2x+\dfrac{1}{4}\right)^2-\dfrac{1}{16}\ge-\dfrac{1}{16}\\ A_{min}=-\dfrac{1}{16}\Leftrightarrow2x+\dfrac{1}{4}=0\Leftrightarrow x=-\dfrac{1}{8}\)

\(A=4x^2+x=\left[\left(2x\right)^2+x+\dfrac{1}{16}\right]-\dfrac{1}{16}=\left(2x+\dfrac{1}{4}\right)^2-\dfrac{1}{16}\ge-\dfrac{1}{16}\)

Dấu "=" xảy ra \(\Leftrightarrow x=-\dfrac{1}{8}\)

Vậy  \(MinA=-\dfrac{1}{6}\) khi \(x=-\dfrac{1}{8}\)

/^/ : Cup, heart, cult, dust, uneaty, aunt, unable, umbrella, blood, young.

/a:/ : còn lại.

a: \(3H_2+Fe_2O_3\rightarrow2Fe+3H_2O\)

b: \(n_{Fe_2O_3}=\dfrac{16}{160}=0.1\left(mol\right)\)

\(\Leftrightarrow n_{H_2O}=n_{H_2}=0.1\cdot3=0.3\left(mol\right)\)

\(v_{H_2}=0.3\cdot22.4=6.72\left(lít\right)\)

She thanks me for inviting her to the party.

Why's Mr.Grim sitting in a boat and fishing?

Do your classmates do their homework in the library?

Kate is going to tell her younger sister about her trip to Japan.

My sister loves taking care of small animals.

She thanks me for inviting her to the party.

Why's Mr. Grim interested in sitting in a boat and fishing?

Do your classmates do their homework in the library?

Kate is going to tell her younger sister about her trip to Japan
My sister loves taking care of small animals

Mỗi giờ làm chung, hai bạn làm được:

1:7= 1/7 (công việc)

Lượng việc Tâm phải làm 1 mình là:

1 - 5 x 1/7 = 2/7 (công việc)

Mỗi giờ Tâm làm 1 mình được:

2/7 : 6= 1/21 (công việc)

Nếu làm 1 mình, để hoàn thành công việc Tâm mất:

1 : 1/21= 21(giờ)

1 giờ làm 1 mình thì Thành làm được:

1/7 - 1/21= 2/21(công việc)

Nếu làm 1 mình, để hoàn thành công việc Thành mất:

1: 2/21= 10,5(giờ)

d - b

D-B

D

B

C - A - C

C

A

C

c-a-c

C - C - B - D - A - B - A - B - A  - B

\(1,ĐK:x\ge2\\ PT\Leftrightarrow\sqrt{3x-6}+x-2-\left(\sqrt{2x-3}-1\right)=0\\ \Leftrightarrow\dfrac{3\left(x-2\right)}{\sqrt{3x-6}}+\left(x-2\right)-\dfrac{2\left(x-2\right)}{\sqrt{2x-3}+1}=0\\ \Leftrightarrow\left(x-2\right)\left(\dfrac{3}{\sqrt{3x-6}}-\dfrac{2}{\sqrt{2x-3}+1}+1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\left(tm\right)\\\dfrac{3}{\sqrt{3x-6}}-\dfrac{2}{\sqrt{2x-3}+1}+1=0\left(1\right)\end{matrix}\right.\)

Với \(x>2\Leftrightarrow-\dfrac{2}{\sqrt{2x-3}+1}>-\dfrac{2}{1+1}=-1\left(3x-6\ne0\right)\)

\(\Leftrightarrow\left(1\right)>0-1+1=0\left(vn\right)\)

Vậy \(x=2\)

\(2,ĐK:x\ge-1\)

Đặt \(\left\{{}\begin{matrix}\sqrt{x+1}=a\\\sqrt{x^2-x+1}=b\end{matrix}\right.\left(a,b\ge0\right)\Leftrightarrow a^2+b^2=x^2+2\)

\(PT\Leftrightarrow2a^2+2b^2-5ab=0\\ \Leftrightarrow\left(a-2b\right)\left(2a-b\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}a=2b\\b=2a\end{matrix}\right.\)

Với \(a=2b\Leftrightarrow x+1=4x^2-4x+4\left(vn\right)\)

Với \(b=2a\Leftrightarrow4x+4=x^2-x+1\Leftrightarrow x^2-5x-3=0\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5+\sqrt{37}}{2}\left(tm\right)\\x=\dfrac{5-\sqrt{37}}{2}\left(tm\right)\end{matrix}\right.\)

Vậy ...

\(3,ĐK:x\ge-1\\ PT\Leftrightarrow3\left(x^2-x+1\right)-2\left(x+1\right)=5\sqrt{x^3+1}\) 

Đặt \(\left\{{}\begin{matrix}\sqrt{x+1}=a\\\sqrt{x^2-x+1}=b\end{matrix}\right.\left(a,b\ge0\right)\)

\(PT\Leftrightarrow3b^2-2a^2=5ab\\ \Leftrightarrow2a^2+5ab-3b^2=0\\ \Leftrightarrow\left[{}\begin{matrix}a=2b\\a=-3b\left(vn\right)\end{matrix}\right.\Leftrightarrow a=2b\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5+\sqrt{37}}{2}\\x=\dfrac{5-\sqrt{37}}{2}\end{matrix}\right.\left(\text{giống bài 2}\right)\)