Solve Using the Square Root Property (x-3)^2=25

Problem

(x−3)2=25

Solution

1. Apply the square root property to both sides of the equation to eliminate the exponent.

√(,(x−3)2)=±√(,25)

2. Simplify the square roots on both sides.

x−3=±5

3. Isolate the variable by adding 3 to both sides of the equation.

x=3±5

4. Evaluate the two possible cases for the plus-minus sign to find the individual solutions.

x=3+5⇒x=8

x=3−5⇒x=−2

Final Answer

(x−3)2=25⇒x=8,−2

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