(x-3)^2=64

less than a minute read Jun 17, 2024

Solving the Equation (x - 3)^2 = 64

This equation involves a squared term and presents a straightforward way to solve for the unknown variable, 'x'. Let's break down the steps:

To get rid of the square, we take the square root of both sides of the equation:

√((x - 3)^2) = ±√64

Remember that taking the square root introduces both positive and negative possibilities.

This simplifies to:

x - 3 = ±8

Now, we isolate 'x' by adding 3 to both sides:

x = 3 ± 8

This gives us two possible solutions:

x = 3 + 8 = 11

x = 3 - 8 = -5

Therefore, the solutions to the equation (x - 3)^2 = 64 are x = 11 and x = -5.