Solve (x+5)² = 0: Finding the Parameter Value

Find the value of the parameter x.

(x+5)2=0 (x+5)^2=0

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Extract root
00:10 Square root cancels square
00:14 Isolate the unknown
00:20 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Find the value of the parameter x.

(x+5)2=0 (x+5)^2=0

2

Step-by-step solution

To solve the equation (x+5)2=0(x+5)^2 = 0, we will use the fact that a perfect square is zero only when the quantity being squared is zero itself.

  • Step 1: Set x+5=0 x+5 = 0 since it is the term being squared.
  • Step 2: Solve for x x by subtracting 5 from both sides: x+5=0 x+5 = 0 x=−5 x = -5

Therefore, the solution to the equation is x=−5 x = -5 .

3

Final Answer

x=−5 x=-5

Practice Quiz

Test your knowledge with interactive questions

Find the value of the parameter x.

\( (x-5)^2=0 \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Factorization questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Solving Equations by Factoring

Solve the Perfect Square Equation: (x-5)² = 0
Click to solve
Solve the Quadratic Equation: x² - 25 = 0
Click to solve