Solve for x: 7√(3x - 5) = 28

Published on August 25, 2024

Question

Answer

Let’s solve this equation step by step:
  1. We start with the equation:
  2. First, let’s isolate the square root term by dividing both sides by 7:
  3. Now, to remove the square root, we can square both sides:

  4. Add 5 to both sides to isolate the term with x:
  5. Finally, divide both sides by 3 to solve for x:
Therefore, the solution to the equation is .
Let’s verify:
If , then
The solution checks out.
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