Step by step
The question
Question: solve x² + 1 = 0.
x2 + 1 = 0
1 Get x² alone
There is no x term, so we get x² by itself.
To remove the + 1, we take away 1 on both sides.
x2 + 1 − 1 = 0 − 1
0 − 1 = −1.
Now we have x² = −1.
x2 = −1
2 Square root of both sides
x squared is −1.
But a real number times itself is never negative.
So there is no real solution.
x2 = −1 no real solution
Let's look back.
First: get x² alone.
Last: square root of both sides.
Answer
x2 = −1 no real solution