Answer:
The final solution is x = i√5, − i√5
Explanation:
(x−1)(x2+5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x−1=0
x^2+5=0
Set the first factor equal to 0 and solve.
x = 1
Set the next factor equal to 0 and solve.
The final solution is all the values that make (x−1)(x2+5)=0 true.
So, final solution is x = i√5, − i√5