What are some examples of quadratic equations?
An example of an AI chatbot conversation about quadratic equation examples.
What are some examples of quadratic equations?
Quadratic equations are in the form ax² + bx + c = 0. Examples include x² - 5x + 6 = 0 and 2x² + 3x - 2 = 0.
Can you solve one of those equations for me?
Sure! Let's solve x² - 5x + 6 = 0. The solutions are x = 2 and x = 3.
How did you find those solutions?
I used the factoring method. The equation factors to (x - 2)(x - 3) = 0, giving the solutions x = 2 and x = 3.
What if the equation doesn't factor nicely?
If it doesn't factor, we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a.
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