Answer:
x = 7i,-7i
Explanation:
We are given x² = -49.
Using the square root - square root both sides.
√x² = √-49
Cancel the square and write plus-minus beside √-49.
x = ± √-49
Using the imaginary unit, i = √-1.
x = ± √49√-1
x = ± √49i
The square root of 49 is 7.
x = ±7i
Therefore, x = 7i,-7i but these solutions are in complex plane so in real plane, they do not exist.