Question

Solve the following:

${(x-2)}^2=(x+1)(x-1)$

• A. $1.5$
• B. $1.25$
• C. $1.75$
• D. $2.25$

Answer 1

The correct option is B $1.25$

${(x-2)}^2=(x+1)(x-1)$
$\Rightarrow x^2+2^2-2\left(x\right)\left(2\right)=x^2-x+x-1$
$\Rightarrow x^2+4-4x-x^2+1=0$
$\Rightarrow -4x=-5$
$\Rightarrow x=\frac{5}{4}$
$\Rightarrow x=1.25$