Question

I need step by step please 3(x-2)^2+1=13

Answer 1

`x_(1) = 0. \: \: \: x_(2) = 4`

Explanation:

`3(x - 2)^(2) + 1 = 3`

`3( {x}^(2) - 4x + 4) + 1 = 13`

`{3x}^(2) - 12x + 12 + 1 = 13`

`{3x}^(2) - 12x + 13 = 13`

`{3x}^(2) - 12x = 0`

`x * (x - 4) = 0`

`x = 0`

`x - 4 = 0`

`\boxed{\green{x_(1) = 0. \: \: \: x_(2) = 4}}`