Question
Jan Villaroel
Topic: Algebra Posted 5 months ago
Use the square root property to solve (8x-1)^2 = 1

Use the square root property to solve

(8x-1)^2 = 1


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Koala Tutor
Jun 25, 2024
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The square root property states that if x^2 = a, then x = sqrt(a) or x = -sqrt(a).

Applying this to the given equation, we have:

8x - 1 = sqrt(1) or 8x - 1 = -sqrt(1)

Solving these two equations gives:

8x = 1 + sqrt(1) => 8x = 1 + 1 => 8x = 2 => x = 2/8 => x = 0.25

and

8x = 1 - sqrt(1) => 8x = 1 - 1 => 8x = 0 => x = 0/8 => x = 0

So, the solutions are x = 0.25 and x = 0.

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