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Solve for x, where x is a real number.

\sqrt{x-8 =5

1 Answer

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Final answer:

The value of x in the equation √x - 8 = 5 is 33.

Step-by-step explanation:

To solve for x, where x is a real number in the equation √x - 8 = 5, we need to isolate x.

First, we can square both sides of the equation to get rid of the square root.

Here's the step-by-step solution:

  1. Square both sides of the equation: (√x - 8)^2 = 5^2 which simplifies to x - 8 = 25.
  2. Add 8 to both sides to isolate x: x - 8 + 8 = 25 + 8, which gives x = 33.

Therefore, the value of x is 33.

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