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Question
Solve the equation by the square root property.

The solution set is 9 of My score: pts (61.
(Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)

Ask by Cox Donnelly. in the United States
Nov 06,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

To solve the equation using the square root property, we first isolate the term.
  1. Subtract 7 from both sides:
  2. Divide both sides by 2:
  3. Now, apply the square root property. Taking the square root of both sides gives:
Thus, the solution set is:
So, the final answer is:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Beyond the Answer

First, let’s simplify the equation by isolating the term. We subtract 7 from both sides to get . Next, divide both sides by 2, resulting in . Now, applying the square root property, we have .
So the solution set is .

Did you know that the square root property was a key concept discovered during the ancient civilizations’ mathematical explorations? Egyptian and Babylonian mathematicians already understood the basic principles of solving quadratic equations, laying the foundation for future algebra!
In today’s world, the square root property isn’t just confined to textbooks; it’s widely applied in fields like engineering and physics! Whether dealing with motion equations or designing structures, mastering this simple yet powerful property can aid in problem-solving in real-life situations, making complex designs come to life!

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