Câu 9: B

Câu 10: A

1) Vì x=25 thỏa mãn ĐKXĐ nên Thay x=25 vào biểu thức \(A=\dfrac{\sqrt{x}-2}{x+1}\), ta được:

\(A=\dfrac{\sqrt{25}-2}{25+1}=\dfrac{5-2}{25+1}=\dfrac{3}{26}\)

Vậy: Khi x=25 thì \(A=\dfrac{3}{26}\)

2) Ta có: \(B=\dfrac{\sqrt{x}-3}{\sqrt{x}+1}+\dfrac{2x+8\sqrt{x}-6}{x-\sqrt{x}-2}\)

\(=\dfrac{\left(\sqrt{x}-3\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}+\dfrac{2x+8\sqrt{x}-6}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)

\(=\dfrac{x-5\sqrt{x}+6+2x+8\sqrt{x}-6}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)

\(=\dfrac{3x+3\sqrt{x}}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)

\(=\dfrac{3\sqrt{x}\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)

\(=\dfrac{3\sqrt{x}}{\sqrt{x}-2}\)

câu 3 chứ

Giải chi tiết bài lm ra nha m.n ;-;

.

`a)sqrtx=sqrt{16+6sqrt7}`

`=sqrt{9+2.3sqrt7+7}`

`=sqrt{(3+sqrt7)^2}`

`=3+sqrt7`

`b)sqrtx=sqrt{4-2sqrt3}=sqrt{3-2sqrt3+1}=sqrt{(sqrt3-1)^2}=sqrt3-1`

`c)sqrtx=sqrt{13+4sqrt3}=sqrt{12+2.2sqrt3+1}=sqrt{(2sqrt3+1)^2}=2sqrt3+1`

a) \(x=16+6\sqrt{7}\)

\(\Rightarrow\sqrt{x}=\sqrt{16+6\sqrt{7}}\)

\(\Rightarrow\sqrt{x}=\sqrt{7+6\sqrt{7}+9}\)

\(\Rightarrow\sqrt{x}=\sqrt{7+6\sqrt{7}+3^2}\)

\(\Rightarrow\sqrt{x}=\sqrt{\left(\sqrt{7}+3\right)^2}\)

\(\Rightarrow\left(\sqrt{x}\right)^2=\sqrt{\left(\sqrt{7}+3\right)^2}\)

\(\Rightarrow\sqrt{7}+3\)

KL: x=\(\sqrt{7}+3\)

`c)-x^2+7x-2=-(x^2-7x)-2`

`=-(x^2-7x+49/4-49/4)-2`

`=-(x-7/2)^2+49/4-2`

`=-(x-7/2)^2+41/4<=41/4`

Dấu "=" xảy ra khi `x=7/2`

`d)-4x^2+8x-9=-(4x^2-8x)-9`

`=-(4x^2-8x+4-4)-9`

`=-(2x-2)^2-5<=-5`

Dấu "=" xảy ra khi `x=1`

`e)-3x^2+5x+10`

`=-3(x^2-5/3x)+10`

`=-3(x^2-5/3x+25/36-25/36)+10`

`=-3(x-5/6)^2+25/12+10`

`=-3(x-5/6)^2+145/12<=145/12`

Dấu "=" xảy ra khi`x=5/6`

b. -x²-2x+15

= -(x-1)²+14

= 14-(x-1)²

Do (x-1)² ≥0∀x nên 14-(x-1)²≤ 14

Dấu bằng xảy ra khi x=1

Vậy max=14 khi x=1

1 replaced

2 freezed

3 applicants

4 priceless

5 breakage

6 suspiciously

7 suited 

8 beheaded 

9 residential 

10 outrageous