Why do I get different answer when I use the quadratic equation? In finding the zeros of a function. I used factoring and completing the squares and it gave me the same answer..
How am I going to defend that my answer using quadatic formula is also right ?
Using the quadratic formula we get x=(-3±sqrt(3^2-4*1*2))/2=(-3±1)/2 so x=-1 or x=-2.
When solving for the zeros of a quadratic function, you can use different methods such as factoring, completing the square, or using the quadratic formula. It is possible to get different answers using different methods if there are minor errors or mistakes made during the calculation process. However, if you have used the quadratic formula correctly, it should provide you with accurate solutions.
To defend the accuracy of your answer obtained using the quadratic formula, you can follow these steps:
1. Understand the Quadratic Formula: Make sure you fully understand and can confidently explain the quadratic formula. The quadratic formula states that for a quadratic equation of the form ax^2 + bx + c = 0, the solutions are given by x = (-b ± √(b^2 - 4ac)) / (2a).
2. Show Your Work: Present your calculations step by step, showing the substitution of values from your quadratic equation into the quadratic formula. Provide clear evidence of your computations, ensuring that you have accurately substituted the values of a, b, and c into the formula.
3. Verify Accuracy: Double-check your calculations to confirm that you have correctly squared and simplified terms, applied the correct signs when substituting values, and avoided any computational errors.
4. Compare Results: Compare your solution obtained using the quadratic formula with the solutions obtained through factoring or completing the square. Ensure that the solutions match or are very close, considering any rounding errors.
5. Explain Method Choice: Justify your use of the quadratic formula by explaining why you chose it as your preferred method. You can emphasize that the quadratic formula is a general approach that can be applied to any quadratic equation, whereas factoring or completing the square might not always be applicable or feasible.
6. Seek Input from Others: If you are still uncertain or facing skepticism, seek feedback from teachers, peers, or mentors who can review your calculations and methodology. Their input can verify the accuracy of your answer and help you further defend your choice of using the quadratic formula.
By demonstrating a thorough understanding of the quadratic formula, presenting your work clearly, verifying accuracy, comparing results, explaining your choice of method, and seeking input from others, you can confidently defend the accuracy of your answer obtained using the quadratic formula.