Question

a) (x+1)⁴ =(2x)⁴

b) (2x-1)⁵ =x⁵

Answer 1

ét o ét

Answer 2

`a)(x+1)^4=(2x)^4`

`<=>(x+1)^4=(2x)^4` hoặc `(x+1)^4=(-2x)^4`

`@TH1:x+1=2x`

      `=>x-2x=-1`

     `=>-x=-1=>x=1`

`@TH2:x+1=-2x`

     `=>x+2x=-1`

     `=>3x=-1=>x=-1/3`

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`b)(2x-1)^5=x^5`

`<=>2x-1=x`

`<=>2x-x=1`

`<=>x=1`

Answer 3

\(\left(x+1\right)^4=\left(2x\right)^4=\left(\pm2x\right)^4\\ =>\left[{}\begin{matrix}x+1=2x\\x+1=-2x\end{matrix}\right.< =>\left[{}\begin{matrix}2x-x=1\\x+2x=-1\end{matrix}\right.< =>\left[{}\begin{matrix}x=1\\x=-\dfrac{1}{3}\end{matrix}\right.\)

\(\left(2x-1\right)^5=x^5\\ =>2x-1=x\\ =>2x-x=1\\ =>x=1\)

Answer 4

\(a,x+1=2x\\ x+1-2x=0\\ -x+1=0\\ -x=-1\\ x=1\\ b,2x-1=x\\ 2x-1-x=0\\ x-1=0\\ x=1\)