Math Problem Statement
Solution
The equation in the image is:
This is a quadratic equation. To solve it, we can follow these steps:
Step 1: Rearrange the equation
Move all terms to one side to set the equation to 0:
Step 2: Apply the quadratic formula
The quadratic formula is given by:
For the equation , the coefficients are:
Step 3: Calculate the discriminant
Step 4: Solve for
Now substitute the values into the quadratic formula:
Thus, the solutions are:
These are the exact solutions. If you prefer approximate decimal values:
Would you like more details on any of these steps or a further explanation?
Here are 5 related questions you might want to explore:
- How does the discriminant affect the nature of the solutions?
- What are other methods for solving quadratic equations?
- Can this quadratic equation be factored directly?
- How would this problem change if the right-hand side was a different number?
- What are complex solutions in quadratic equations, and when do they occur?
Tip: Always double-check your discriminant calculation to ensure you're solving the quadratic equation correctly.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Formulas
Quadratic formula x = (-b ± √(b² - 4ac)) / 2a
Theorems
Quadratic formula
Suitable Grade Level
Grades 7-9