How do you solve for x in the equation √(x + 9) = 41?

To solve the equation √(x + 9) = 41, we need to isolate x. Let’s go through the steps together:

  1. Start with the original equation: √(x + 9) = 41.
  2. To eliminate the square root, we can square both sides of the equation. This gives us:
    (√(x + 9))² = 41².
  3. Simplifying both sides leads to:
    x + 9 = 1681.
  4. Next, subtract 9 from both sides to solve for x:
    x = 1681 – 9.
  5. This simplifies to:
    x = 1672.

So, the solution to the equation √(x + 9) = 41 is x = 1672.

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