Solve for x in a square root equation.

Published on November 24, 2024

Algebra

The solution to the equation \sqrt{(X - 4)(X + 4)} = 3 is X = 5 and X = -5.

Question

Answer

Here’s how to solve the equation

Square both sides: To eliminate the square root, square both sides of the equation:

Expand the left side: Use the difference of squares formula, :

Isolate : Add 16 to both sides of the equation:

Solve for X: Take the square root of both sides:

So, the solutions are

and

Final Answer: The final answer is

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