Giải phương trình sau:

a) \(\sqrt{x+1}+1=4x^2+\sqrt{3x}\)

b) \(2\left(x^2-3x+2\right)=3\sqrt{x^3+8}\)

Giải phương trình sau:

a) \sqrt(x+1)+1=4x^(2)+\sqrt(3x) 

b) 2(x^(2)-3x+2)=3\sqrt(x^(3)+8)

Rút gọn biểu thức

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

The government's recent campaign, encouraging us to leave our cars at home and get on our bikes, has had some success, with a slight increase (1)_____ the numbers cycling to work.

We all now know the benefits-cyclists have (2)_____ health problems than non-cyclists, and they don't damage the environment. But we won't become a nation of cyclists until we (3)_____ two major barriers. First, exhaust fumes in heavily congested streets can be as (4)_____ to the lungs as cigarette smoke. So we must have more cycle lanes separating cars and bikes. Second, bikes need to be used for everyday transport. Cycling in many cities has been cornered by enthusiasts who weave in and out of traffic, ignore the lights, trespass on pavements and shout abuse at cars that (5)____ their progress. Only when British commuters emulate their French, German and Scandinavian counterparts and use bicycles to go about their business in their everyday clothes (6)____ large numbers start pedalling.

1. A: on                     B: of                     C:in                     D:to

2. A: fewer                B: smaller             C: less                 D: lower

3. A: risky                 B: reduce             C: beat            D:overcome

5. A: interfere           B: bad             C: unhealthy     D:damaging

6. A: must                B:should          C: will               D: may

\(\left(2x-3\right)^2-\left(x-1\right)^2=0\)

 (2x-3-x+1)(2x-3+x-1) =0

(x-4)(3x-4) = 0

Ta có 2 TH

+) TH1:

x-4=0

x=4

+) TH2:

3x-4=0

x=\(\dfrac{4}{3}\)

Vậy x=4; x=\(\dfrac{4}{3}\)

Những bpt trên có phải là bpt bậc nhất ẩn ko? Giải thích

g) \(\dfrac{1}{x}+2\) ≤ 0

h) \(\dfrac{-7-2x}{3}\) ≥ 0

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

a) Rút gọn A

b) Tìm GTLN của A