Math Problem Statement
x^2-(4*x)-5
Solution
The expression you have is:
To solve for the roots of this quadratic equation, we can factor it. We are looking for two numbers that multiply to -5 and add up to -4. The numbers are -5 and +1. So we can factor the expression as:
Setting each factor equal to zero:
Solving these gives:
So, the roots of the equation are and .
Would you like more details on the solution, or do you have any questions?
Here are 5 related questions you might find interesting:
- How can you verify the roots of a quadratic equation using the quadratic formula?
- What is the discriminant of the equation ?
- How do you graph a quadratic equation like ?
- What does the vertex of the quadratic equation represent geometrically?
- How do you solve a quadratic equation by completing the square?
Tip: Always check if the quadratic can be factored before jumping to the quadratic formula—it might save you time!
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Factoring
Formulas
Factoring quadratic equations
Zero Product Property
Theorems
Factorization method
Zero Product Property
Suitable Grade Level
Grades 7-9