Question

Tìm x:

(2x-2)² - (2x-1)² = 0

nhớ cách làm nữa đó. bn nào trả lời đúng, có cách làm dễ hiểu( hoặc cụ thể) và sớm nhất mk sẽ tick.

 

Answer 1

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

\(\Leftrightarrow\left[\left(2x-2\right)-\left(2x-1\right)\right]\cdot\left[\left(2x-2\right)+\left(2x-1\right)\right]=0\)

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

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

\(\Leftrightarrow\left(-1\right)\cdot\left(4x-3\right)=0\)

\(\Leftrightarrow4x-3=0\div\left(-1\right)\)

\(\Leftrightarrow4x-3=0\)

\(\Leftrightarrow4x=3\)

\(\Leftrightarrow x=\frac{3}{4}\)

 Vậy \(x=\frac{3}{4}\)

Answer 2

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

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

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

\(-1\left(4x-3\right)=0\)

\(-4x+3=0\)

\(-4x=-3\)

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