Question
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Signment
HW Score: 23.03%, 11.29 of 49 points
Solve the following equation.

Ask by Carter Greene. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The solutions are and .

Solution

  1. Start with the equation:
  2. Take the square root of both sides, remembering to include the positive and negative roots:
  3. Solve for by subtracting from both sides:
Thus, the solutions are:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Explain
Simplify this solution

Extra Insights

To solve the equation , we first take the square root of both sides, giving us two equations: and . Next, we isolate :
  1. From the first equation:
  2. From the second equation:
Thus, the solutions are .
When explaining radical solutions, it’s important to remember that we can express those values in decimal form if needed, but presenting them as exact answers maintains their precision!
When solving quadratic equations, keeping track of positive and negative roots is crucial. A common mistake occurs when squaring both sides since it can introduce extraneous solutions. Always check your solutions by substituting them back into the original equation to verify they hold true. Happy solving!

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