$$x^2=100$$ $$x=\pm 10$$
This is acquired by taking the square root of both sides. So given:
$$x^4=10,000$$ $$x=\pm 10$$
This is done by taking the fourth root of both sides. But, I miss two complex solutions:
My question is how do I avoid making mistakes like this? In this instance, I did not know that there were complex answers as well. How was I supposed to recognize this? I know that looking at the value of the discriminant is one option but since problems like the former are so easy the latter problem seemed intuitive. Am I supposed to calculate the discriminant for each function like a paranoid madman or is there some general rule involving complex roots that I am unaware of?