(x+8)^4=16

less than a minute read Jun 17, 2024

Solving the Equation (x + 8)^4 = 16

This equation involves a power of four, but we can solve it by applying a series of steps to isolate x. Here's how:

The equation (x + 8)^4 = 16 can be simplified by taking the fourth root of both sides:

(x + 8)^4^(1/4) = 16^(1/4)

This simplifies to:

x + 8 = ±2

Remember that taking the fourth root of a positive number can result in both a positive and a negative value.

Now, we have two possible equations to solve:

Solving for x in each equation:

Therefore, the solutions to the equation (x + 8)^4 = 16 are x = -6 and x = -10.