Question

2x² - 11ix - 14 = 0
List the steps too please. :>

Answer 1

Answer: x =
`(7)/(2)i`, 2i

Explanation:

2x² - 11ix - 14 = 0

a=2, b=-11i, c = -14

`x = \frac{-(b)+/-\sqrt{(b)^(2)-4(a)(c)} }{2(a)}`

`x = \frac{-(-11i)+/-\sqrt{(-11i)^(2)-4(2)(-14)} }{2(2)}`

`= (11i+/-√(-121 + 112) )/(4)`

`= (11i+/-√(-9) )/(4)`

`= (11i+/-3i)/(4)`

`(11i+3i)/(4)`
`(11i-3i)/(4)`

=
`(14i)/(4)` =
`(8i)/(4)`

=
`(7i)/(2)` = 2i