Question

x(x-1)=1-x²

^{trả lời giúp mình câu hỏi này nhanh mình sẽ tick}

 

Answer 1

x(x-1)=1-x²

x²-x=1-x²

2x²-x-1=0

\(\hept{\begin{cases}x=1\\x=\frac{-1}{2}\end{cases}}\)

Answer 2

x(x-1)= (1-x)(1+x)

x(x-1)+(x-1)(x+1)=0

(x-1) (x + x+1)= 0

(x-1)(2x+1)=0

x=1 hoặc x = -1/2

Answer 3

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

\(x^2-x=1-x^2\)

\(x^2-x-1+x^2=0\)

\(2x^2-x-1=0\)

\(2x^2-2x+x-1=0\)

\(2x\left(x-1\right)+\left(x-1\right)=0\)

\(\left(2x+1\right)\left(x-1\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}2x+1=0\\x-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-\frac{1}{2}\\x=1\end{cases}}}\)