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Answer: x = ± i , x = ±√2i are solution .
Step-by-step explanation:
Given : , use u substitution to solve.
To find : what are the solutions of the equation .
Solution : We have given that .
Let consider = u .
Substitute u = in given equation .
.
On factoring
.
Taking common
u( u+2) +1 (u+2) = 0.
On grouping
(u+1) (u+2) =0
Now, u+1 = 0 ⇒ u = -1.
u+2 = 0 ⇒ u = -2.
In term of x, plugging = u.
= -1 ;
= -2.
taking square root both side
x = ± i
x = ±√2i.
Therefore, x = ± i , x = ±√2i are solution .