Find all real and imaginary solutions to the equation. b⁴ - 2401 = 0 B) {0, ±7i} C) {±7, ±7i} D) {±7}

Name: Find all real and imaginary solutions to the equation. b 4 - 2401 = 0 B) {0, ±7i} C) {±7, ±7i} D) {±7}
Brand: Quizplus
Rating: 4.9 (51 reviews)

Question

Quizplus · Accepted Answer

We can factor the equation as: (b⁴ - 49)(b⁴ + 49) = 0 So we have two possible solutions: b⁴ - 49 = 0, which gives b⁴ = 7, and b⁴ + 49 = 0, which gives b⁴ = -7 Thus, the real solutions are ±7, and the imaginary solutions are ±7i. Therefore, the answer is choice C.

Find All Real and Imaginary Solutions to the Equation