Solve Using the Square Root Property (5x-4)^2=36

Problem

(5*x−4)2=36

Solution

1. Apply the square root property by taking the square root of both sides of the equation, remembering to include both the positive and negative roots.

√(,(5*x−4)2)=±√(,36)

2. Simplify the square roots on both sides.

5*x−4=±6

3. Set up two separate equations to solve for the two possible values of x

5*x−4=6

5*x−4=−6

4. Solve the first equation by adding 4 to both sides and then dividing by 5

5*x=10

x=2

5. Solve the second equation by adding 4 to both sides and then dividing by 5

5*x=−2

x=−2/5

Final Answer

x=2,−2/5

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