Math Problem Statement
solve for x: x^2-7x-8=0
Solution
We are given the quadratic equation:
To solve for , we can use the quadratic formula:
For the equation , the coefficients are:
Let's substitute these values into the quadratic formula:
Simplifying the terms inside the square root:
Now, calculate the two possible values for :
Thus, the solutions are:
Do you want more details, or have any questions?
Here are 5 related questions:
- What is the quadratic formula, and when is it used?
- How do you determine the number of solutions to a quadratic equation?
- Can quadratic equations have complex solutions?
- How would you solve by factoring?
- What are other methods for solving quadratic equations?
Tip: Always check the discriminant to quickly determine the nature of the solutions (real or complex).
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Formulas
Quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a
Theorems
Quadratic Formula Theorem
Suitable Grade Level
Grades 8-10