\(\left(x-2\right)^2-\left(x+1\right)\left(x-1\right)=0\\ =>x^2-4x+4-x^2+1=0\\ =>-4x+5=0\\ =>-4x=-5\\ =>x=\dfrac{5}{4}\)
`(x-2)^2 -(x+1)(x-1)=0`
`<=> (x^2-4x+4)-(x^2-x+x-1)=0`
`<=> x^2-4x+4-x^2+x-x+1=0`
`<=> -4x +5=0`
`<=>-4x=-5`
`<=>x=5/4`
=>x^2-4x+4-x^2+1=0
=>-4x+5=0
=>-4x=-5
=>x=5/4