Question -
Answer -
Given: 4x2 +1 = 0
We know, i2 =–1 ⇒ 1 = –i2
By substituting 1 = –i2 inthe above equation, we get
4x2 –i2 = 0
(2x)2 –i2 = 0
[Byusing the formula, a2 – b2 = (a + b) (a – b)]
(2x + i) (2x – i) = 0
2x + i = 0 or 2x – i =0
2x = –i or 2x = i
x = -i/2 or x = i/2
∴ The roots of thegiven equation are i/2, -i/2