2:

căn c+25=34

=>căn c=9

=>c=81

=>c^2-28=81^2-28=6533

3: xy-3x+y=14

=>x(y-3)+y-3=11

=>(y-3)(x+1)=11

=>(x+1;y-3) thuộc {(1;11); (11;1); (-1;-11); (-11;-1)}

=>(x,y) thuộc {(0;14); (10;4); (-2;-8); (-12;2)}

4:

TH1: AC=5cm

AB+AC<BC

=>Loại

TH2: AC=11cm

BC+AC>AB; BC+AB>AC; AB+AC>BC

=>Nhận

C ABC=11+11+5=27(cm)

\(=\dfrac{10}{15}+\dfrac{6}{15}=\dfrac{16}{15}\)

10/15+6/15

16/15

-1 ; -3; -7; -21; 1; 3 ; 7 ; 21

Ư(-21)={-21, -7, -3, -1, 1, 3, 7, 21}  

a: \(Q=\dfrac{\left(\sqrt{x}+1\right)\left(\sqrt{x}+2\right)-2\sqrt{x}\left(\sqrt{x}-2\right)-5\sqrt{x}-2}{x-4}:\dfrac{\sqrt{x}\left(3-\sqrt{x}\right)}{\left(\sqrt{x}+2\right)^2}\)

\(=\dfrac{x+3\sqrt{x}+2-2x+4\sqrt{x}-5\sqrt{x}-2}{x-4}\cdot\dfrac{\left(\sqrt{x}+2\right)^2}{\sqrt{x}\left(3-\sqrt{x}\right)}\)

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

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

b: Khi x=4-2căn 3 thì \(Q=\dfrac{\sqrt{3}-1+2}{\sqrt{3}-1-3}=\dfrac{\sqrt{3}+1}{\sqrt{3}-4}=\dfrac{-7-5\sqrt{3}}{13}\)

c: Q>1/6

=>Q-1/6>0

=>\(\dfrac{\sqrt{x}+2}{\sqrt{x}-3}-\dfrac{1}{6}>0\)

=>\(\dfrac{6\sqrt{x}+12-\sqrt{x}+3}{6\left(\sqrt{x}-3\right)}>0\)

=>\(\dfrac{5\sqrt{x}+9}{6\left(\sqrt{x}-3\right)}>0\)

=>căn x-3>0

=>x>9

\(\frac{1}{12}-\left(-\frac{1}{6}-\frac{1}{4}\right)\)

\(=\frac{1}{12}-\left(-\frac{2}{12}-\frac{3}{12}\right)\)

\(=\frac{1}{12}+\frac{2}{12}+\frac{3}{12}\)

\(=\frac{1}{2}\)

Thanks bạn cute Jeon Koo Koo nhìu nha , tớ cảm ơn pạn rất nhìu :3

Sao nhiều thế:)

Giải hết những gì có trên hình hã...'-'

He didn't play football

They didn't tidy their rooms

She didn't dance at the party

We didn't visit our grandparents

You didn't watch TV

I didn't help my dad

He didn't study the exam

You didn't live in London

We didn't play tennis

a) he didn't play basketball

b) They didn't tidy their rooms

ceiling

vào dram

a: \(=\dfrac{x^3+2x+2x-2-x^2-x-1}{\left(x-1\right)\left(x^2+x+1\right)}\)

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

b: \(=\dfrac{x^2-2x-3+x^2+2x-3+2x-2x^2}{\left(x-3\right)\left(x+3\right)}\)

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

c: \(=\dfrac{6-7+x}{3\left(x-1\right)}=\dfrac{x-1}{3\left(x-1\right)}=\dfrac{1}{3}\)

d: \(=\dfrac{x^3+2x+2x-2-x^2-x-1}{\left(x-1\right)\left(x^2+x+1\right)}=\dfrac{x^3-x^2+3x-3}{\left(x-1\right)\left(x^2+x+1\right)}=\dfrac{x^2+3}{x^2+x+1}\)

a: Để H là phân số thì n+1<>0

hay n<>-1

b: Để H là số nguyên thì \(2n+2+13⋮n+1\)

\(\Leftrightarrow n+1\in\left\{1;-1;13;-13\right\}\)

hay \(n\in\left\{0;-2;12;-14\right\}\)