Question

Bài 1: Gpt

a) \(x+2\sqrt{8x-x^2}=4\left(1+\sqrt{x}\right)\)

b) \(\sqrt[3]{2x^3+6}=\sqrt{x^2-3x+3}-x\)

c) \(x^2-3x+4=3\sqrt{x^3-6x^2+11x-6}\)

Bài 2: Giải hệ:

\(\left\{{}\begin{matrix}\left(x-1\right)^3+y^2=\sqrt[3]{x\left(2x+1\right)}\\3x^2-x+\dfrac{1}{2}=y\sqrt{x^2+x}\end{matrix}\right.\)

Answer 1

2:Sửa đề (x-1)^2

=>(x-1)^2+y^2=căn 3(x(2x+1) và 5x^2+(x-1)^2=2y*căn x^2+x

\(\sqrt[3]{2\cdot4x\left(2x+1\right)}< =\dfrac{2x+1+4x+2}{3}=2x+1\)

=>(x-1)^2+y^2<=2x+1/2

=>2x^2-6x+1+2y^2<=0

5x^2+(x-1)^2=2ycăn x^2+x<=y^2+x^2+x

=>5x^2-3x+1-y^2<=0

=>(2x-1)^2<=0

=>x=1/2

=>y=căn 3/2