Question

X^2=-49


Solve quadratic equation using square root

Answer 1

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.