Question

Solve x2 − 8x + 5 = 0 using the completing-the-square method. (2 points)

Answer 1

`x = 4 + √(11), \: \: x = 4 - √(11)`

Explanation:

`{x}^(2) -8x + 5 = 0 \\ \\ {x}^(2) - 8x + {4}^(2) = - 5 + {4}^(2) \\ \\ {(x - 4)}^(2) = - 5 + 16 \\ \\ {(x - 4)}^(2) = 11 \\ \\ x - 4 = \pm √(11) \\ \\ x = 4 \pm √(11) \\ \\ x = 4 + √(11), \: \: x = 4 - √(11)`