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4/22 Solving Square Solve for x root(3)(x-1)=7 x=21 x=-21 x=344 x=-344

44/2222 Solving Square\newlineSolve for x x \newlinex−13=7 \sqrt[3]{x-1}=7 \newlinex=21 x=21 \newlinex=−21 x=-21 \newlinex=344 x=344 \newlinex=−344 x=-344

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Q. 44/2222 Solving Square\newlineSolve for x x \newlinex−13=7 \sqrt[3]{x-1}=7 \newlinex=21 x=21 \newlinex=−21 x=-21 \newlinex=344 x=344 \newlinex=−344 x=-344
  1. Identify the Question: question_prompt: What is the value of xx if the cube root of (x−1)(x-1) equals 77?
  2. Eliminate Cube Root: Raise both sides of the equation to the power of 33 to get rid of the cube root. (x−13)3=73(\sqrt[3]{x-1})^3 = 7^3
  3. Calculate 737^3: Calculate 737^3. 7×7×7=3437 \times 7 \times 7 = 343
  4. Simplify Equation: Simplify the left side of the equation. (x−1)=343(x - 1) = 343
  5. Isolate x: Add 11 to both sides to isolate xx. x−1+1=343+1x - 1 + 1 = 343 + 1
  6. Final Value of x: Calculate the final value of xx. x=344x = 344

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