Question

Solve x2 − 12x + 23 = 0 by completing the square.

a (x − 12)2 = 23; x = −11, x = 35
b (x − 6)2 = 13; x = −7, x = 19
c (x − 12)2 = 23

Answer 1

`{x}^(2) - 12x + 23 = 0`

`{x}^(2) - 12x = - 23`

`{x}^(2) - 12x + 36 = 13`

`{(x - 6)}^(2) = 13`

x - 6 = +√13

x = 6 + √13