Solve the following quadratic equations:
![]()
![]()
Given
= 0
Recall that the roots of quadratic equation ax2 + bx + c = 0, where a ≠ 0, are given by
![]()
Here, a = 1,
and ![]()




By substituting i2 = –1 in the above equation, we get



We can write ![]()
![]()
[∵ i2 = –1]
![]()
[∵ (a – b)2 = a2 – 2ab + b2]
By using the result
, we get

![]()
![]()
![]()
[∵ i2 = –1]

Thus, the roots of the given equation are
and
.