Question

Am I correct? (Perfect Square Form)

Answer 1

`(x -3 )^2 = 10`

Explanation:

Given

`x^2 - 6x - 1 = 0`

Required: Express as a perfect square

`x^2 - 6x - 1 = 0`

Add 10 to both sides

`x^2 - 6x - 1 +10= 0+10`

`x^2 - 6x +9= 10`

Expand

`x^2 - 3x - 3x+9= 10`

Factorize:

`x(x - 3) - 3(x - 3)= 10`

Factorize:

`(x -3 )(x - 3) = 10`

`(x -3 )^2 = 10`