Answer:
x = 3i
Step-by-step explanation:
(x+5)² - 4 = 12
simplify (x+5)²
x × x + 5 × 5 - 4 = 12
x² + 25 - 4 = 12
x² + 21 = 12
combine the like terms
x² = 12 - 21
x² = -9
square root both sides to solve for x
√x² = √-9
the square cancels the square root, so we have
x = √-9
x = 3i
