Final answer:
The solutions to the equation x^2 - 4 = 77 are x = 9 and x = -9.
Step-by-step explanation:
The given equation is x^2 - 4 = 77. To solve this equation, we can start by adding 4 to both sides to isolate the variable on one side:
x^2 = 81
Next, we can take the square root of both sides:
x = ±√81
Simplifying further:
x = ±9
Therefore, the solutions to the equation are x = 9 and x = -9.