Question

(x+1)² - (2-x)²  =  4

Answer 1

\(\left(x+1\right)^2-\left(2-x\right)^2=4\)

\(\Leftrightarrow\left(x+1+2-x\right)\left(x+1-2+x\right)=4\)

\(\Leftrightarrow3\left(2x-1\right)=4\)

\(\Leftrightarrow2x-1=\frac{4}{3}\)

\(\Leftrightarrow2x=\frac{7}{3}\)

\(\Leftrightarrow x=\frac{7}{3}:2=\frac{7}{6}\)

Answer 2

          x² + 2x + 1 - 4 + 4x - x² = 4

<=> 6x = 7

<=> x = \(\frac{7}{6}\)