Math Problem Statement
Solution
The quadratic equation provided is:
Step 1: Factorize the quadratic equation
This is a perfect square trinomial. To factorize it:
Step 2: Solve the equation
Since , we can solve by setting the factor equal to zero:
Thus, the solution to the quadratic equation is , which is a repeated solution.
Final Answer:
- (since it's a repeated solution)
Would you like more details or have any other questions?
Here are 5 related questions to deepen understanding:
- What is the general method to solve any quadratic equation?
- How do you recognize a perfect square trinomial?
- What is the significance of repeated solutions in a quadratic equation?
- How can you use the quadratic formula to solve this same equation?
- What are the characteristics of the graph of a quadratic equation with a repeated solution?
Tip: When you factor a quadratic equation, always check if it's a perfect square trinomial to simplify the process!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Factorization
Formulas
Quadratic equation formula: ax^2 + bx + c = 0
Theorems
Perfect Square Trinomial
Zero-Product Property
Suitable Grade Level
Grades 7-9
Related Recommendation
Solve Quadratic Equation x^2 + 10x + 25 = 0 by Factoring
Solving Quadratic Equation z² + 26z + 49 by Completing the Square
Factoring the Perfect Square Trinomial 25z^2 - 30z + 9
Solving the Quadratic Equation x^2 - 10x + 25 by Factoring
Solve Quadratic Equation Using Completing the Square: (x + 7)(x - 9) = 25