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