Solve Using the Square Root Property x^2=225

Problem

x2=225

Solution

1. Identify the equation as a quadratic in the form x2=k which is suitable for the square root property.

2. Apply the square root property by taking the square root of both sides of the equation and including both the positive and negative roots.

x=±√(,225)

3. Simplify the square root of the constant term, noting that 15×15=225

x=±15

4. List the individual solutions for the variable x

x=15,x=−15

Final Answer

x=±15

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