(x-25)^2=36

less than a minute read Jun 17, 2024

Solving the Equation (x-25)^2 = 36

This equation involves a squared term, which means we'll need to use the square root property to solve for x. Here's a step-by-step breakdown:

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

√((x-25)^2) = ±√36

Remember that when we take the square root, we need to consider both positive and negative solutions.

Simplifying both sides gives us:

x - 25 = ±6

Now we need to isolate x by adding 25 to both sides:

x = 25 ± 6

Finally, we have two possible solutions:

Therefore, the solutions to the equation (x-25)^2 = 36 are x = 31 and x = 19.