Question

Solve the equation by completing the square.

0 = x²14x + 46

a x = 7 ± √3
b x = -7 ± √3
c 14 ± √3
d -14 ± √3

Answer 1

its a I hope it's helps you

Answer 2

`0 = {x}^(2) + 14x + 46`

`\boxed{ {x}^(2) - 14x - 46 = 0}`

`x1.2 = \frac{ - b ±  \sqrt{ {b}^(2) - 4ac } }{2a}`

`x1.2 = \frac{ - 14  ± \sqrt{ { - 14}^(2) - 4(1 * 46) } }{2 (1)}`

`x1.2 = ( - 14 ±  √(196 - 184) )/(2)`

`x1.2 = ( - 14 ± √(12)  )/(2)`

`x1.2 = \frac{ \cancel{ - 14} ±  √(12) }{ \cancel{2} }`

`x1.2 = - 7 ±  √(12)`

`x1.2 = - 7 ±  √(4 * 3)`

`\boxed{ \bold{ - 7 ± 2 √(3)}}`