Solve using the square root method. (x - 6)² = -49 A) {6 + 7i, 6 - 7i} B) {6 + 7i} C) {13} D) {13, -1}

Question

Quizplus · Accepted Answer

The equation is in the form of a perfect square, (x - 6)^2 = -49. Taking the square root of both sides gives x - 6 = ±√(-49). Since the square root of -49 is 7i (where i is the imaginary unit √(-1)), we have x - 6 = ±7i. Solving for x gives x = 6 ± 7i, which corresponds to the two solutions 6 + 7i and 6 - 7i.

Solve Using the Square Root Method