Question

Use the square root property to solve the quadratic equation. (z-1)^(2)=-9

Answer 1

z = 1 ± 3i

Explanation:

(z - 1)² = - 9 ( take square root of both sides )

z - 1 = ±
`√(-9)` = ±
`√(9(-1))` = ± (
`√(9)` ×
`√(-1)` ) = ± 3i

add 1 to both sides

z = 1 ± 3i

then

z = 1 - 3i

z = 1 + 3i