Question

X^3 - x^2 + 5x – 5 = 0

Answer 1

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