Answer:
5i, and - 5i ⇒ ± 5i
Step-by-step explanation:
We are given the equation 2x^2 + 16 + 34 = 0;
2x^2 + 16 + 34 = 0 ⇒ subtract ( 16 + 34 ) from either side of equation,
2x^2 = - 50 ⇒ divide either side by 2,
x^2 = - 25 ⇒ take square root on either side of equation,
| x | = √ - 25 ⇒ apply imaginary value i,
± 5i, provided absolute value sign | |;
Solution; ± 5i