Answer:
x = ± sqrt(-49)
or x = ± 7i
Step-by-step explanation:
x^2 +49 = 0
Subtract 49 from each side
x^2 +49 -49 = 0-49
x^2 = -49
Take the square root of each side
sqrt(x^2) = ± sqrt(-49)
x = ± sqrt(-49)
We have to complex numbers to solve
x = ± sqrt(-1) sqrt(49)
sqrt(-1) = i
x = ±i *7
x = ± 7i
