Saved Bookmarks
| 1. |
Solve the quadratic equation z^2+4iz+4=0 |
|
Answer» Answer: Step-by-step explanation: Simplifying z2 + 4iz + -4 = 0 Reorder the TERMS: -4 + 4iz + z2 = 0 Solving -4 + 4iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4iz + 4 + z2 = 0 + 4 Reorder the terms: -4 + 4 + 4iz + z2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4iz + z2 = 0 + 4 4iz + z2 = 0 + 4 Combine like terms: 0 + 4 = 4 4iz + z2 = 4 Add '-1z2' to each side of the equation. 4iz + z2 + -1z2 = 4 + -1z2 Combine like terms: z2 + -1z2 = 0 4iz + 0 = 4 + -1z2 4iz = 4 + -1z2 Divide each side by '4z'. i = z-1 + -0.25z Simplifying i = z-1 + -0.25z |
|