Answer:
x = ±i8/7
Step-by-step explanation:
49x^2 +64 = 0
Subtract 64 from each side
49x^2 +64-64 = 0-64
49x^2 = -64
Divide by 49
49x^2/49 =-64 /49
x^2 = - 64/ 49
Take the square root of each side
sqrt(x^2) = ±sqrt(- 64/ 49)
x = ±sqrt(- 64/ 49)
We know sqrt( ab/c) = sqrt(a) sqrt(b)/sqrt(c)
x = ±sqrt(- 1) sqrt(64)/( 49)
We know that the sqrt(-1) = i
x = ±i8/7
