Thesolutionsto thequadraticequation(x - 4)² = 36 arex = 10 and x = -2.We have,To solve thequadraticequation(x - 4)² = 36, we can start by taking the square root of both sides of theequation.However, we need to consider both the positive and negative square roots because squaring a number eliminates the sign.Taking thesquarerootof both sides, we have:√[(x - 4)²] = √36Simplifying further:|x - 4| = 6Now, we can set up two separateequationsto consider both the positive and negative square roots:x - 4 = 6 or x - 4 = -6Solving the first equation:x - 4 = 6Adding4 to both sides:x = 10Solving the second equation:x - 4 = -6Adding4 to both sides:x = -2Therefore,Thesolutionsto thequadraticequation(x - 4)² = 36 arex = 10 and x = -2.Learn more aboutequationshere:brainly.com/question/17194269#SPJ6...

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